Questions tagged [number-sequence]

A puzzle that asks for the pattern (and usually the next term) in a given number sequence. Use with [sequence]

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1 answer
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A strange number pattern, isn't it?

This looks like a strange number sequence to me. Or is it? 1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 20 21 22 23 24 25 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 ? ? ? ? ? So what are ...
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I promise, never again! [duplicate]

The first 15 non-negative integers are written below. The 16th number contains 4 digits! - yet it is the next and the last term. No special knowledge required. Try see if you can find a pattern and ...
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2 votes
2 answers
218 views

Planar Investigator

Use logical deduction to place a different digit from 1 to 9 in each circle below so that 8 of the arrows form the primes 23, 31, 41, 53, 59, 79, 89, and 97. (We view an arrow starting at digit A and ...
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2 votes
1 answer
250 views

What's the next term in this sequence?

I created this simple number sequence puzzle, I don't know if anyone used the same idea before. Find the term at the question mark in the sequence. $$ 25, 42, 56, 97, 176, 232, 251, 269, 394, 518, 572,...
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0 votes
1 answer
164 views

A simple number sequence puzzle

This is a simple number sequence puzzle, you are given 6 related number sequences, observe them, find the pattern; Your task is to give the first sixteen terms in the seventh sequence. $$1d5, 2d3, ...
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11 votes
1 answer
307 views

Gah, these number sequences are just too boring!

Gah, these number sequences are just too boring! You just plug them in and then you're done! There is a function $f : \mathcal{S} \to \mathbb{Z}$, where $\mathcal{S}$ is a finite subset of the ...
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9 votes
1 answer
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I can't remember her birthday!

My Persian friend said: I will meet you in New York on my birthday. But I can't remember her birthday! I only found this riddle related to her birthday in old chats. $(y+z)/y = (y)/z = (A+10)/10 $ $...
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18 votes
1 answer
1k views

Describe your ability to solve this number sequence!

Here is a sequence of numbers: 0, 2, 4, 6, 8, -, -, -, 10, 12 Can you fill in the three blanks and thus reveal your excellent puzzle-solving ability?
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0 votes
1 answer
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What is this sequence? 1, 11, 21, 22211, 33221

In this sequence: 1, 11, 21, 22211, 33221, 433332211, 44444444332221, ? Can you guess the next number? What is this sequence? Hint 1: Hint 2:
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7 votes
1 answer
228 views

How do you go from 2021 to 2022?

Below a path is shown that goes from 2020 to 2021. Following the same path, how do you go from 2021 to 2022? 2322, 2302, 2012, 2020, 2028, 2025, 2024, 2029, 2021, ..., ..., ..., 2022 Fill the gap.
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0 votes
2 answers
202 views

What should be the most logical and appropriate 9th term in this sequence?

Consider this sequence 3, 5, 10, 20, 39 What is the pattern? I initially thought it might be a pattern of *2-1, *2,*2,*2-1 (a group of *2-1,*2,*2 repeating itself), but don't think this is a valid ...
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3 votes
1 answer
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Very long number sequence

Here is the sequence: ...
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9 votes
1 answer
390 views

Complete the rest of this seasonal sequence

Usually I don't like this kind of "guess the next terms" puzzle. But at this time of the year I wonder whether it makes sense to post such a question. So here is the start of a sequence: $$...
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2 answers
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Sequences on an IQ Test

I found this IQ test (http://free.ultimaiq.net/nse.htm) and can't seem to solve questions 18 and 19: Q18: 120, 10, 3, ?, ? Q19: 41, 23, 61, ?
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12 votes
2 answers
680 views

Introducing S-sequences: which is the shortest to contain all integers 1 to 20?

Consider a sequence (finite or infinite) of different positive integers, such as the following, in which the first term is 1, and thereafter the nth term is either the previous term plus n, minus n, ...
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3 votes
0 answers
201 views

The smallest number

Some time ago I created a program to generate a table, and printed the first seven rows and columns. Somehow however I forgot to print the headers and the title of the table. I only remember that it ...
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2 votes
1 answer
223 views

What number comes next in this evenly doubled sequence?

I've been playing around with sequences lately and found a pretty evenly doubled sequence of single digit numbers: 1, 12, 30, 64, 65, 156, 175, 368, 369, 371, 752, 753, 1524, 1525, 3060, 3073, 6168, ...
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1 vote
1 answer
156 views

An oddly formed sequence?

I've been playing around with sequences lately and came across one that was rather, odd. $101$, $123$, $147$, $189$, $191$, $213$, $217$, $279$, $...$ Hints Let $N_i = 101$... Can you determine the ...
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3 votes
1 answer
204 views

As simple as 1,2,3?

What is the next number in the sequence? 1, 2, 4, 3, 9, 5, 6, 10, 16, 7, 11, 8, 25, 12, 17, 13, 14, 18, 36, 15, 26, 19, 20, 21, 49, 27, 22, 23, 28, 37, 24, 29, 64, 30, 31, 38, 32, 33, 50, 39, 81, 34, ...
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5 votes
2 answers
2k views

What comes next in this sequence? 2, 3, 1, 5, 7, …

Here's a sequence I can't solve. It includes every number from 1-14, does not include 15 and 16, and then has a 17. I think there may be a pattern in natural number progression but can't find it. What ...
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14 votes
2 answers
2k views

Modification of 100 lightbulbs problem (everyone flips 100 bulbs each)

This is a modification to the usual 100 lightbulbs in a room puzzle. Like before, the first person flips the switch of every lightbulb. However, while the second person also starts from the first ...
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1 vote
0 answers
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I need help deciphering what looks like a binary message

I was watching a YouTube video and it’s filled with secret messages and codes. The last two codes were in binary and inserting them into a translator provided correct answers. However, that's not ...
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  • 11
2 votes
2 answers
1k views

What number comes next in 2, 4, 5, 3, 10, …

2, 4, 5, 3, 10, 11, 13, 7, 5, 28, 29, 31, 35, ??? I tried plugging it into Wolfram Alpha which couldn't find any pattern, and I'm still not too sure how to determine what number comes next. Any ideas?...
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  • 121
24 votes
1 answer
1k views

A predictable sequence

"Four, four, four, ..." droned the random number generating monster. "Are you sure that's random?" I asked. "That's the problem with randomness, you can never be sure!" ...
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-2 votes
3 answers
166 views

Sequence with all terms divisible by 8

Let's have the following infinite sequence 3968, 13224, 30624, 59048, ? What is the next term, replacing the question mark? Why are all the terms of this infinite sequence divisible by 8?
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0 votes
1 answer
102 views

Mount Olympics?

A friend sent me the following sequence of numbers with the above title. They said it took them, and their friend wiki, 37 summers to frame it. 83, 55, 45, 44, 37, 36, 48, 46, 46, __ Can you help me ...
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14 votes
1 answer
1k views

A Harry Potter sequence puzzle

What is the next term in the following sequence based on Harry Potter? None, 16, None, 16, 5, 9, ?
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3 votes
2 answers
313 views

Colorful Pattern Puzzle with Arrows and Warning Signs

This is my first time on Puzzling Stack Exchange. I challenge you to solve this puzzle I made, impossible to everyone else except for me as far as I know. Can you solve it?
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1 vote
2 answers
172 views

Numbers sequencing and decoding... (#1)

Part 1: Q1,E2,T3,U4,O5,A6,D7,___ Find ___. Clue: draobyek Part 2: ode coded math is slogan done bans were math eroded question: eco desperate minus 14362 i22096 up ____ down. eulc? Clue: Word sin ...
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6 votes
1 answer
765 views

What's the last number in my wordy number sequence?

I have a wordy number sequence, partially shown below: $ {1, 45.2548, 1262.6650, 32768, 390625, 10077696, 282475249, 3037000499.976, 31381059609, ... }$ Can you find the last number in the sequence? ...
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21 votes
1 answer
1k views

A Sequence That Keeps Changing?

So I get this special sequence of "items" as the following: 2 1 3 4 7 8 2 5 2 3 9 But look! If I put some numbers (randomly) in front of the sequence: 3 4 2 1 3 4 7 8 2 5 2 3 8 And yeah! ...
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5 votes
0 answers
209 views

Sequence puzzle: 3, 9, 27

A twist of the classic sequence game: A friend asked me to find the rule to this sequence: 3, 9, 27. I am allowed to suggest other sequences to test if they follow that (unknown to me) rule, to which ...
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2 votes
2 answers
426 views

Find the next number: 1, 9, 19, 30, 41.5,?

What is the next number in the list, and what is the secret formula for this list? 1, 9, 19, 30, 41.5, ?
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3 votes
2 answers
211 views

Square sequence puzzle 3

Find what comes next in the following sequence: 1,4,9,6,0,8,8,8,8,0,2,6,0,0,? Bonus 1: What is the rule? Bonus 2:
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3 votes
1 answer
211 views

Square sequence puzzle two

Find what comes next in the following sequence: 0,1,4,9,7,7,9,13,10,9,1,? Bonus: What is the rule?
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  • 137
-4 votes
2 answers
135 views

Square sequence puzzle

Find what comes next in the following sequence. 01, 04, 09, 16, 25, 36, 49, 64, 81, 00, 21, 44, 69, 96, 25, ? Bonus: What is the rule of the sequence?
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  • 137
2 votes
2 answers
243 views

Two sequences in one

The following sequence of numbers is related to two well known sequences in the OEIS, the On-Line Encyclopedia of Integer Sequences: 3, 4, 7, 10, 16, 21, 30, 40, 57, 84, 120, 181, 274, 420,... a) ...
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-1 votes
1 answer
161 views

Another Sequence of Sequences [duplicate]

Examine the following seven sequences of numbers: 1 11 21 1112 3112 211213 312213 What are the next seven sequences of numbers? What is the hundredth sequence in the series? Puzzle by the late ...
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4 votes
2 answers
327 views

Finding the root of a basic sequence

The sequence starts with the following: a1 = 1, a2 = 2, a3 = 5, a4 = 4, a5 = 6, a6 = 10, a7 = 9, a8 = 8, a9 = 21, a10 = 12, a11 = 13, a12 = 20, a13 = 33, a14 = 15, a15 = 42, a16 = 16, a17 = 19, a18 = ...
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-1 votes
1 answer
169 views

Your typical math sequence

1, 2, 16, 4, 16, 16, 52, ?, 52, 16, 52, ?, 40, 52, ? What are these question marks? a) 8, 16, 160 b) 16, 8, 190 c) 52, 16, 160 d) 8, 25, 90 e) Impossible to determine
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4 votes
1 answer
413 views

Patterns - they're everywhere!

You wake up in a room (again) that has two floors, Both have 3 puzzles. In order to escape, You have to find every answer in this order: Red Yellow Green Cyan Navy Pink and combine it together (eg if ...
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-1 votes
1 answer
180 views

Sequence of large numbers - 97613377, 239783652

Let's have the following sequence 43, 108, 5737, 13932, 97613377, 239783652,? What number belongs where the question mark is? HINT: The next number is 28693771291496497. What is the next term after ...
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1 vote
1 answer
2k views

Next in the number sequence problem: 20, 21, 33, 68, 172.5, 520.5

20, 21, 33, 68, 172.5, 520.5, ? What will come next in this number sequence problem?
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-4 votes
1 answer
81 views

Expressing values of irrationals in the form of fractions

Let's have the following sequence of fractions: $\frac{24}{17}, \frac{816}{577}, \frac{941664}{665857}, ?$. What is the next fraction in this sequence?
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5 votes
1 answer
216 views

Unusual sequence of fractions

Let's have the following sequence of fractions: $\frac{156}{51}, \frac{756}{251}, \frac{3756}{1251}, ? $ . What fraction replaces the question mark?
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2 votes
1 answer
131 views

A math sequence, but also a English sequence!

What are the numbers in the question marks? 0, 1, 2, ?, 5, 6, 8, ?, 40, 46, 60, ?, 84
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3 votes
1 answer
267 views

Not a Fibonacci sequence

What is the next term in the sequence? 1, 1, 2, 3, 5, 8, 18, 34, 60, 120, 214, 394, 788 hints: #1
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2 votes
3 answers
164 views

Specific numbers and a blank box

There are 2 rows of numbers shown below. Which number belongs to the blank box with a question mark? Please choose from the three options stated. Why were these particular numbers chosen?
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2 votes
3 answers
1k views

What number follows the sequence?

I was taking a job application exam online and encountered a pattern I couldn't solve. ? 26, 13.2, 3.6, 2, 1.2, ? What number comes next? Answer choices were: 7.2 5.4 6.4 6.8 7 6.6 I guessed 6.6 due ...
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  • 121
0 votes
1 answer
214 views

The nice and round sequence

I have thought up a sequence, and I name it the nice and round sequence. Its first 10 numbers are 15773, 29694, 165083, 276316, 496325, 498512, 702504, 719466, 808667, 826245 What is its pattern? ...
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