Questions tagged [number-sequence]
A puzzle in which the hidden pattern behind a given sequence of numbers (and, often, the next term) is to be found. Use with [sequence]
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What is the next term in the sequence 3, 1, -7, 41?
I could detect only one pattern, however, the sign is confusing me
$3 - 1 = 1 \times 2$
$1 - (-7) = 2 \times 2^2$
$-7 - 41 = -3 \times 2^4$
I have a pattern, but I am confused due the to sign.
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Next term in sequence
Came across these 3 sequences to find the next number denoted by '?' in a test yesterday and was unable to select the right answer from the options given
1,6,19,54,151,426,? - Options given are 1415,...
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Can you find the missing letters?
A pattern of letters has had letters 10 through 20 deleted. Your job is to find out what letters should go in spots 10-20. Here is the pattern:
a, b, c, d, d, d, f, e, f, _, _, _, _, _, _, _, _, _, _, ...
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Find the ciphering method 2
Link to the entire series.
The message:
3, 53, 48751, 9247757, 294914580539
The answer is a 13 letter word: UNDERSTANDING
Hint 1:
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Self-referential sequence that is sometimes powers of two
I've created an integer sequence where, after the first two elements, every element is calculated using the previous two. If the first two numbers are $1$ and $3$, the sequence goes as follows:
$$1, 3,...
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Find next element of the sequence
Source of the question: Taken from the sub-Reddit r/askmath here: https://www.reddit.com/r/askmath/comments/15ar3ne/looking_for_the_answer_to_the_following_sequence/
What is the next element of the ...
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Puzzle Challenge: Unraveling the the Circular Conundrum
Known are five numbers: 1, 2, 3, 4, and 5, arranged clockwise. The number after 1 is 2, after 2 is 3, after 3 is 4, after 4 is 5, and after 5 is 1. Whenever two adjacent numbers meet, it triggers a ...
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4, 2, 4, 2305843009213693952, ? - an original number sequence
Here is the sequence:
4, 2, 4, 2305843009213693952, ?
Source: My brain (as it was invented by me. I also attempted to search if someone else created this, but I was unable to find)
Hint 1:
Hint 2: (...
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Find the next term in the sequence [closed]
What's the next term in the sequence?
$12$, $28$, $36$, $84$, $88$, $168$, $\ldots$
The possible choices are:
$174$, $170{2\over3}$, $188$, $169{1\over3}$, $176$
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If ABCDE*4 = EDCBA. A,B,C,D and E are all natural numbers ( 1-9) without repeating any natural number. Why is it deducible that E cannot be three?
If ABCDE*4 = EDCBA. ABCDE,EDCBA are five digit numbers. A,B,C,D and E are all natural numbers ( 1-9) without repeating any natural number. Why is it deducible that E cannot be three?
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The following sequence contains a 12 somewhere
Consider the following sequence:
11, 6, 11, 11, 6, 11, 11, 6, 11, 6, 6, 11, 6, 11, 11, ...
Although it looks like a sequence of 6s and 11s at first, it will in fact eventually contain a 12. Also, it ...
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Mathematical Codebreaking
I've created a number-sequence puzzle and dressed it up as a cipher puzzle.
The following message has been intercepted. You suspect it begins with the words ...
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Enclosed yet another sequence
There are so many sequences here already, I cannot guarantee that this is new. At least, I haven't found anything like this yet.
But I can assure you that you will not find the sequence on OEIS.
$$ 0, ...
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Why do 1 and 1 complete 120, 10, 3, ?,?
This is a question from an IQ test (NSE test designed by Ivan Ivec and Theodosis Prousalis). The link for this test is https://free.ultimaiq.net/nse.htm
The sequence is:
120, 10, 3, ?, ?
The answer ...
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Find the next digit in four given sequences
Find the next digit in each of these four sequences:
7 8 8 8 8 ...
3 4 5 2 5 ...
2 1 2 1 2 ...
1 1 9 6 3 ...
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Restore a once very happy sequence
Once, I had a nice sequence of numbers.. They were all very happy.
Suddenly, someone came by and stole all the lines. The numbers didn't know what to do, and got very scared. They clung to each other.
...
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Self-numbers and repunits
Self-numbers or Colombian numbers (A003052 in the OEIS) are natural numbers which are not the sum of a smaller number and the sum of its digits. Repunits (in base 10) are numbers consisting only of 1'...
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How is the RHS related to the LHS
Please explain the following relationship:
Accessible:
2 --> 18
20 --> 48
200 --> 6
2000 --> 26
How did I arrive at these?
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An interesting Number sequence: 8, 10, 7, ...? [closed]
Let's see how many of you can solve this correctly
I found a number sequence puzzle somewhere in the web with interesting logic and a unique strict solution.
8, 10, 7, 12, 5, 16, 3, ?
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Continue the row of numbers: 1, 3, 9, 13, 65, ...?
Yesterday, I stumbled across a series of numbers that I could not solve. Maybe one of you can figure it out?
1, 3, 9, 13, 65, …?
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Find the next number in these series..?
1, 1, 1, 1, 2, 2, 2, 2, 2, 5, 4, ?
2, 4, 6, 10, 15, 26, ?
71, 194, 38, 1701, 89, 76, ?
5303944, 6677714, 2070936216988528558, ?
1, 2, 3, 6, 9, 9, 16, 20, 18, 30, ?
You know, there is more than ...
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Given the length of sequences with different seed values, what comes next? 1, 2, 4, 5, 11, 22, etc
Edit: Apparently this site has had a few too many what comes next puzzles without anything to go off of so I've decided to make this a different albeit a bit easier puzzle.
Sequences generated by a ...
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1, 2, 3, 10, ... Another find-the-next-number-in-the-sequence puzzle
Can you spot the pattern and continue the following sequence?
1, 2, 3, 10, 12, 16, 25, 37, 55, 81, 100, ...
Hints:
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What is the next number in the sequence below [closed]
6.000,7.000,.857,8.168,.105,77.790
Which of the following responses completes the series
.001
740.857
9.524
.013
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0
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Two number patterns (clue: or geometrical shapes)
Solve the series:
Series 1:
6 and 1
5 and 2
4 and 3
5 and 1
???
Series 2:
6 and 1
5 and 2
5 and 1
4 and 3
???
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The "Slightly Spooky Sequence" Game
Two players, Alice and Beatrice, having previously agreed on a positive integer N (say 30) as a limit, take turns to write a sequence of positive integers. In the first turn Alice writes 1. Thereafter,...
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Same sequence interwoven with itself creating groups
If we take all the digits from 1 to 9 and lay them out in order.
123456789
Now repeat the sequence and add it to the end.
123456789123456789
Now let's copy and reverse everything to create a second ...
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What is the last integer in this sequence?
Here are the first several entries in a finite sequence of integers.
$$ 31, 45, 71, 89, 91, 94, 111, 112, 118, 121, 126, 131, $$
$$ 134, 135, 139, 143, 144, 145, 148, 158, 161, 189, 193, 194, \dots $$
...
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How Many Magic Hexagons that use repeated digits?
There exists only 1 normal magic hexagon that uses non repeating consecutive digits for 1 to 19.
If We allow digits to repeat we can create something like this hexagon that is made up using ...
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More bits the merrier
The computer department at Puzzled State University devised an inefficient
bit-based
(zeros and ones) number system, n',
for their ever more bit-happy machines.
...
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Square Sum Problem Summing 3 consecutive digits along the line
In this image from a numberphile video we see a sequence of numbers from 1 to 15 without repeats where any pair of neighbouring digits sum together to make a perfect square number.
15 is the lowest ...
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Smallest 3x3 Magic Square of different square sums
Consider the follow magic square highlighted in yellow. The sum of its rows and columns are in green and the sum of the diagonals in red.
All of its sums are a square number with the sum of the whole ...
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please Extend this list of Units
Given the following list of four corresponding series of numbers, what would the fifth line look like?
1 : 1.4 / 3
2 : 3 / 2 | 1 : 2 / 6
2 : 3 / 2
1 : 2 / 3
Hint 1: This puzzle was inspired by the ...
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Odd one's out (sequence)
Once upon a time, there was a curious mathematician named Friedrich. One day, while exploring a new area of mathematics, he stumbled upon an intriguing sequence of numbers:
0, 1, 2, 2, 4, 3, 3, 4, 4, ...
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A Weird Sequence
Today, I was in Rome for a vacation. The most peculiar thing happened. A gnome walked up to me. Uttering no words, it handed me a slip of paper.
0, 1, 1, 2, 3, 2, 5, 5, 5, 9, 4, ?
Naturally, I was ...
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Another predictable sequence: 1, 1, 2, 2, 1, 17, etc
This puzzle is part of the Monthly Topic Challenge #6: Is it really that [time] again?.
Can you find the pattern? Note: The next number hasn't been worked out yet.
...
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What are the missing numbers in the circle?
Given the following diagram, what are the missing two numbers in the last figure?
This is from a mathematics book for primary school
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Twelve numbers omitted
This is the beginning of a simple sequence.
NO Computers or special knowledge are required.
Insert the missing numbers. Explain how the sequence was generated.
Note: the line breaks can be ignored, ...
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My dead mom left behind some number code
Background: I actually do not know the answer to this puzzle, but can answer any questions you may have. My mom who is now deceased had this series of numbers written in her notebook, that don't seem ...
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Will the sequence ever change?
Here is a sequence that seems to go on forever. Will it? Will this sequence ever change?
1,2,3,1,0,1,2,3,1,0,1,2,3,1,0 and so on
What does this sequence relate to?
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Chinese Pinyin Puzzle
Puzzle World in VR Chat. Must Select the 8 Words in the right order 1-8. Nothing other than that I'm aware of.
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What is the next number in the series 1111111,111,21,13,12,11,10? [closed]
Find the next number in the series 1111111,111,21,13,12,11,10,
[There was a hint saying the answer is a single-digit integer, and the series has something to do with the number 7]
I've only been able ...
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Two naughty programmers
The math professor wrote an equation f(x) = x and defined t as number of solutions at f(x) = 5 and u as number of solutions at f(x) = 3. He further defines N as N = t+u
Two programmers decided to edit ...
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What is the sequence?
The following 5 sequences of base-10 numbers all follow the same pattern, and converge at 14,.
What is the pattern and which number is next?
1,5,10,14,23,...
2,6,10,14,23,...
3,9,14,23,...
4,9,14,23,.....
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German number sequence
Classical format, here is a sequence of numbers, you need to find out how it continues:
5, 4, 14, 8, 0, 4, 2, 2, 2, 0, -3, -1, -2, -3, -7, -7, -6
This puzzle should also have the tag 'Germany' ...
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Mom Got Me Shoes For My Birthday
What number must replace the question mark below?
218
19
780
17
11
9,000
301
6
8
600
?
80
70
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An increasing decreasing sequence
In math, there are all kinds of sequences
1545, 1218, 1071, 921, 851, 832, 799, 793, 774, 745, ... is (the start of) such as sequence
What is the best number?
Note:
Even in math things change, so ...
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Balanced binary cycle
Let's call a binary cycle ${\bf x}:x_1,x_2,\ldots, x_{12}$ balanced if exactly 6 of the $x_i$'s are 0 and 6 of them are 1. We can place the sequence around a circle and add each two adjacent digits ...
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Next number in the sequence 2, 4, 3, 10, 5, 5, 28, 11
2, 4, 3, 10, 5, 5, 28, 11, 7, 8, 82, 29, ?
What is the next term in this sequence?
I was asked this in an interview, but my time ran out and I couldn't figure out the pattern. I see a lot of terms of ...
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