# 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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### Secret message from a kitten (definitely not a cosmic horror from beyond time)

Can you decrypt this secret message? Transcript: ...
• 11
1 vote
134 views

### Forget this sequence

(THIS STORY IS FICTIONAL) One day, when I was at work, my worst enemy logged in to my computer and wrote these “meaningless” numbers written on my spreadsheet: $25, 663, 669, 660, 440859, …$ After an ...
• 1,330
812 views

### Handmade number sequence puzzle - but I broke it!

Feeling inspired by another 'handmade' sequence puzzle on the site, I decided to try my hand at a similar endeavour myself. But - oops, butterfingers - I appear to have broken it! I know the sequence ...
• 148k
360 views

### Handmade number sequence puzzle: 14, 8, 98, 86, 58, ?, 34, 15,?

Hello ladies and gentlemen, I have crafted my own number sequence puzzle. 14, 8, 98, 86, 58, ?, 34, 15, ? Hint:
222 views

### Please find the next number in this sequence: 121, 25, 36, 49, 16, 9,?

Here is the sequence: 121, 25, 36, 49, 16, 9, ? What should be written instead of the question mark? Note: Angles in a clock (seconds aren't considered)
235 views

### Finding the next number in this sequence: 184275, 8292375, 3108105, ...,

I created this puzzle myself. Find the next number in this sequence and explain: 184275, 8292375, 3108105, 54729675, 147349125, 1587160575, 24135786675, 20906353125, 214266677625, 1676096296875, ...
• 1,240
923 views

### Find a more elegant explanation for the sequence 01, 10, 13, 20, 25, 30, 37, 40

Some sequences like 1, 2, 4, 5, 10, 11, 22, ... can be explained by a two-part rule: Consider the following sequence: S = 01, 10, 13, 20, 25, 30, 37, 40, ... It is fairly easy to find a two-part rule ...
• 13.8k
214 views

### What number completes the sequence? 2, 1, 7.5, ...,

What number completes the sequence? 2 , 1 , 7.5 , 6.5 , 5 , 6.5 , 7.5 , 5 , 6.5 , 7.5 , 1 , 6.5 , 7.5 , 6.5 , 5 , 4.5 , ...
• 173
130 views

### What is the pattern in the sequence? -1, 3/2, -13/6, 25/8

It happens to be useful to me to understand the pattern in this list of numbers: -1, \frac{3}{2}, -\frac{13}6, \frac{25}8, -\frac{541}{120}, \frac{1561}{240}, -\frac{47293}{5040}, \frac{36389}{2688},...
• 111
127 views

### Number sequence puzzle: 14, 32, 69, 05,?

I made this puzzle on my own, feel free to solve it. Sequence is as follows: 14, 32, 69, 05, ?
162 views

### Numerical sequence 942, 138, 424,?

Homemade number sequence puzzle, quite easy. Sequence: 942, 138, 424, ?
300 views

### Number salad with a meaning

617181419920141 128131119 1331152419 54141131811 Your goal is to explain what number sequence should come next and what it means.
• 367
125 views

### Meaning of sequence 11011010000000111000000000

What is the meaning and significance of the following sequence of digits? 11011010000000111000000000 Hint:
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261 views

### Numerical sequence puzzle: 552175, 228496, 198479, 583317, 140554, 114383, 117045, ?,?

So here's the sequence, that I composed on my own. Think trees and 🟡 : 🟡 552175, 228496, 198479, 583317, 140554, 114419, 117046, ?, ?
1 vote
118 views

### Continuing the hexadecimal sequence 9bf66a6a87, 9bfd91c857, 9c0501e2ae, 9c0991af27, 9c0d27e6ec, [closed]

Given the following sequence of hexadecimals, figure out how to generate the next few in the sequence: 9bf66a6a87 9bfd91c857 9c0501e2ae 9c0991af27 9c0d27e6ec My ...
• 19
933 views

### 2,6,?,30,-270 number sequence

Got this number sequence puzzle from a friend.
121 views

### Numerical Sequence Puzzle: 8388607, 536870911, 2147483647,?

Sequence puzzle made by me. 8388607, 536870911, 2147483647, ?
181 views

### Two numerical sequences

Two numerical sequences made by me. Make sure to provide reasoning. 90,81,65,29,9,? 46656, 823543, 16777216, ?
232 views

### Homemade number sequence puzzle

A homemade number sequence puzzle. The sequence is as follows: 001, 1001, 00001, ?, 001001
2k views

### 4,4,2,6,2,10,4,_ sequence from 4th grade packet

The sequence (from my child's "for fun" challenge packet, not for credit or graded) is: 4,4,2,6,2,10,4,_ The possible answers are: A) 15 B) 20 C) 25 D) 28
• 243
324 views

### The mystery of 107 numbers

Find the algorithm that was used to create the following sequence of numbers: BAH BAA BBA BAD BBD BAG BBG BAJ BBJ BBC BCC BBF BCF BBI BCI BCB BDB BCE BDE BCH BDH BDA BEA BDD BED BDG BEG BDJ BEJ BEC ...
• 1,251
946 views

### 2759, 4248, 1152,?

What comes next? 2759, 4248, 1152, ? What is the pattern? The op got it from this site: https://free.ultimaiq.net/nse.htm
278 views

### mathematical magic trick

Here’s a conversation that took place between two students. A: Hey, want to see a magic trick? B: Sure, how does it go? A: Think of any number. Any nonnegative integer, I should say. B: Okay. A: ...
• 143
695 views

### Few enigmatic puzzles [closed]

?, 63264, 12825, 65121, 02420, 48409 REDYPS, Y = ? 8, 33, 5 : X, II, ? Gods in space (7 letters) = 51151 = 8812, 22334 = 8459, 99111 = 2110910, 27772 = ?
760 views

### Numbers turned into a number turned into numbers (start with the smallest)

What number should replace the question mark? Explain why. Hint 1
• 38k
212 views

### Strings of Kind Numbers

A positive integer is said to be “kind" if it is divisible by one of its digits other than 1 (https://oeis.org/A185186). A kind string of numbers is a finite sequence of numbers all of whose ...
273 views

### Simple number sequence puzzle

Complete the sequence: 8, 6, 7, 3, 6, 5, 4, 5, 5, 2, ?
• 148
573 views

### List Roman numerals to minimize total distance

This is based on a discussion with @mousetail. List the numbers from 1-100 in Roman numerals in the order that minimizes the total sum of the Levenshtein distances between consecutive numbers.
• 7,845
1 vote
141 views

### Relation Between The Year And The Day

Today is January 22, the 22nd day of the year 2024. I chose today because 22 is my favorite number. Now for the problem. Try to relate 22 to 2024 using math. For example, 58 is related to 271 because ...
• 469
1k views

### What is the earliest 2024 can appear in an S-sequence?

A Sloane Sequence (or S-sequence) is any sequence of different positive integers begining with 1 in which the nth term (after the first) is the previous term plus n, times n, minus n, or divided by n ...
653 views

### Arithmetic-progression-free sequences

This question Sudokus with no 3-term arithmetic progressions within made me wonder about the following question. What is the longest sequence composed of the integers 1..N (or 0..N-1 if you have a ...
• 30.9k
173 views

### icosahedral net [closed]

The net of $20$ triangles shown to the right can be folded to form a regular icosahedron. Inside each of the triangular faces, write a number from $1$ to $20$ with each number used exactly once. Any ...
327 views

### Number sequence puzzle: strings of 0s and 1s

How can I solve this sequence? 011010, 100010, 100010, 100010, 000010, ?, 100010 https://free.ultimaiq.net/nse.htm
• 23
400 views

### What's the missing number related to primes?

I would like to draw your attention to this mathematical sequence related to prime numbers I've created and ask what the missing number is. 2, 5, 27, 182, 2310, 27200, ______, 8998400, 223092870, ...
• 39
1 vote
395 views

### Two number sequence puzzles

123456, ?, 32407290, 128028806480 122540, 577697, ?, ? Both puzzles are from - https://free.ultimaiq.net/nse.htm
1 vote
317 views

### Numeric progressive matrix: 2-7-5, 2-3-4, 10-21-?

This is an interesting question that I got from an IQ interview test. This can have multiple answers but need a good explanation.
• 317
856 views

### A very presentable number sequence

(The title holds a clue) 12,22,30,36,40,42,42,40… Here is a finite sequence. Can you tell me the sum of all of its numbers?
• 17.1k
535 views

### Find the pattern of the sequence of prime numbers 17 23 5 1013 2027 13

A friend gave me a sequence of prime numbers 17 23 5 1013 2027 13 and said that they have a pattern. I tried to find something but I am stumped by the fact that the numbers first increase, then kill, ...
312 views

### What are the next 3 terms: 19, 43, 59, ...?

What are the next 3 terms in the following finite sequence? 19, 43, 59, 23, 79, 83, 109, 463, 569, 263, ?, ?, ?
• 36.5k
1k views

### A number sequence in disguise

What number should replace the question mark? Explain why. ...
• 38k
136 views

### Numbers given: 2, 3, 6, 15, choice of answers: 24, 25, 36, 64? [closed]

Math question, numbers are 2. 3. 6. 15 Choice of answers given are A.24 B.25 C.36 D.64 What is the correct choice please?
• 17
234 views

### Find the wrong number in the given series

I found this question in an Indian Highschool Reasoning Olympiad. I tried looking for any relation using powers of 2 but failed.
383 views

### Find the correct pattern in this series

My uncle send me a puzzle, and neither of us can solve it. The series seems to have an obvious pattern, however the given answers do not include that pattern. -2, 4, -6, 8, -10, 12, ..., ... a) 39, ...
• 139
1k views

### A symmetrical number sequence

What 5-letter word does this sequence represent? ...
• 38k
206 views

### Need help solving two number puzzles

1st Puzzle: Can you find the next two numbers in the sequence: 122540, 577697, ?, ? 2nd Puzzle: Solve this sequence: 28) 123456, 777, 154, ?, ? Both questions are from https://free.ultimaiq.net/nse....
2k views

### What is next letter in sequence: B, D, G, J, L, ___?

My answer is P. But I am not sure as there is not sufficient data to support this. B(2), ____, G(7), ____, L(12), _____ (alternating sequence of difference 5: 2, 7, 12, 17,...) ____, D(4), ____, J(10),...
606 views

### What is the next number in the following sequence: 0, 4, 8, 21, 52, 65, 96,?

What is the next number in the following sequence: 0, 4, 8, 21, 52, 65, 96, ? To allow new users to solve this puzzle and earn reputation points, I encourage all users whose reputation is 200 or ...
• 13.8k
149 views

### If 123x45 = 1, 22+222=0, 8979:4=5, 56319=2 what is 781-32=?

If 123x45 = 1, 22+222=0, 8979:4=5, 56319=2 what could be the solution to 781-32=? Found it on an maths board and became desperate over time.
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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.