Questions tagged [sequence]

A puzzle about a series or collection of symbols, elements, or other objects, whose chosen ordering obeys a specific logical rule, which is usually to be determined.

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9 votes
3 answers
880 views

Minimum number of flips needed to fully set a binary string

Source: My school teacher, it was just given as a problem statement. Problem: You are given a binary sequence $S$ of up to $10^6$ bits. You wish to set all the bits in the string to $1$, but the catch ...
4 votes
0 answers
309 views

Lucas's interesting cipher

Lucas was fooling around with some letters when he encoded some text into Gsobj lwmtkd sbceugb vfy rgdjb.. Can you figure out the original text he had?
4 votes
1 answer
664 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 = ?
4 votes
2 answers
382 views

Sequence of 3x3 grids of dots

Has anyone got any ideas on how to go about solving this?
4 votes
1 answer
739 views

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

What number should replace the question mark? Explain why. Hint 1
4 votes
2 answers
190 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 ...
19 votes
1 answer
526 views

Almighty threats!

There's rhyme and reason behind the following 10-step sequence of words and phrases: 1. HUSK 2. BE COMELY 3. TRACKED 4. NOT HOOK 5. KICK TIPS 6. CUSP 7. ALMIGHTY 8. THREATS 9. BEFIT 10. ? The name ...
12 votes
2 answers
636 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 ...
6 votes
1 answer
948 views

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 ...
2 votes
0 answers
300 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, ...
2 votes
0 answers
113 views

Find another way to prove the answer: circles with four numbers in them [closed]

I know of an alternate solution to 3 where trying to find it would make an interesting puzzle. Can anyone do so? It has to involve a sequence somehow. Source: https://www.indiabix.com/puzzles/number-...
2 votes
1 answer
300 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
0 votes
1 answer
145 views

Sequence of triangles divided into 10 smaller triangles with yellow, purple, and/or dots [closed]

This is IQ type of puzzle. May not be progressive sequence.
1 vote
2 answers
265 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.
8 votes
1 answer
519 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, ...
9 votes
1 answer
485 views

none, none, Newland, Portage, Plano

What is the pattern behind this list of US cities? Really quite simple for US folk, and I think most educated foreigners have the requisite background info. US City US State Añasco PR Carolina PR ...
8 votes
2 answers
839 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?
5 votes
1 answer
301 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, ?, ?, ?
19 votes
1 answer
2k views

Can One Solve This Scary Sequence?

The following terms appear in a sequence. Unfortunately, they are scrambled (both the original terms and their order). Theory, Policeman?, Contest, Clarice, Bad Act, One in Rome, Fashionable, Confess,...
22 votes
0 answers
2k views

REALLY important days in history

@Z. Dailey asks a mathematical puzzle Important days in history... and to come! with a series of dates in years 1973, 1978, 1983, 1992, 2005. My puzzle asks the question: What is the previous date in ...
1 vote
5 answers
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),...
15 votes
1 answer
899 views

E Rebus Unum – a picture sequence puzzle

This is part 42 of the puzzle series Around the World in Many Days. Each part is solvable on its own. Dear Puzzling, Today I have been taking it easy. You might even say it has been a walk in the ...
5 votes
0 answers
252 views

Longest Fibonacci word

Fibonacci words are defined as $F_0 = a, F_1 = b, F_{n+2} = F_nF_{n+1}$ where $a, b$ are letters. How can you find the longest Fibonacci sub-word in a given string? Try to solve it in linear time ($O(...
5 votes
1 answer
580 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 ...
9 votes
1 answer
195 views

Continue the squence of hexagons

This is from c't, a German IT magazine (link will download file). You see seven hexagons, each with seven green and blue dots, following a specific rule. Find out what colors the circles must have to ...
5 votes
2 answers
580 views

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 ...
6 votes
1 answer
499 views

A healthy number sequence

What should b the missing number? 1, 2, 3, 5, 6, 7, ?, 12
2 votes
3 answers
342 views

Next term in sequence [closed]

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,...
3 votes
0 answers
150 views

The Mono-Quantum Condrum

You are presented with a locked box, and on its surface, you notice a sequence of peculiar symbols: ⌬ ⌅ ⊙ ⊡ Next to the symbols, there's an inscription: ...
2 votes
1 answer
962 views

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.
7 votes
1 answer
418 views

Explain: 5-1=1, 5+1=1, 5=1

Explain the following equations. The final answer is 1 word. $4 ÷ 7 - 1 = 0\\ 1 \times 12 + 8 = 2\\ 0 ÷ 10 + 7 = 0\\ 9 \times 2 - 3 = 1\\ 5 - 1 = 1\\ 4 - 2 = 1\\ 2 \times 2 - 9 = 1\\ 5 = 1\\ 5 + 1 = ...
3 votes
1 answer
351 views

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 ...
5 votes
1 answer
394 views

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 ...
16 votes
2 answers
1k views

What should we put in the 6th box?

Below there is a small sequence. What should we put in the 6th box?
7 votes
1 answer
935 views

NSE puzzle: 91420512, 1297514, 35172115,?

There's another puzzle on nse that I don't know how to do. 91420512, 1297514, 35172115, ?
10 votes
1 answer
964 views

What is the next short word in this long sequence?

Which one of the four answers fits the word sequence below and why? Am As On An Or Or On ? Four choices: 1. At 2. Or 3. Law 4. Over
2 votes
2 answers
427 views

Another Number Sequence Riddle

Here is another number sequence riddle for you all: 4, 2, 7, 6, 8, __, __, and so on. What numbers go in the blanks?
3 votes
1 answer
366 views

Can you find the next number in the following series? 14, 1, 13, 0, 23, 21,?

Replace the question mark with the next number: 14, 1, 13, 0, 23, 21, ?
0 votes
1 answer
487 views

Circle, circle + triangle, ... sequence of groups of colored shapes:

Source: https://ravens-2-progressive-matrices-clinical-edition.netlify.app/ I can't seem to find a logical consistency for the answers. What is the correct answer?
8 votes
1 answer
515 views

What comes next in this sequence? Choose from 4 options

What comes next in this sequence? Why? Choose from the 4 options.
4 votes
1 answer
466 views

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 ...
-4 votes
2 answers
419 views

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: (...
1 vote
1 answer
343 views

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. ...
6 votes
3 answers
751 views

What's the next number? You may need some help

What's the next number in the following sequence? 1, 3, 6, 7, 9, 11, 13, 14, 18, 21, 23, 28, 31, ___, ... Hints will be released gradually - the first one is in the title. Hint #2: Additionally: ...
1 vote
3 answers
381 views

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 ...
14 votes
1 answer
805 views

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,.....
3 votes
1 answer
135 views

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: $174$, $170{2\over3}$, $188$, $169{1\over3}$, $176$
9 votes
1 answer
351 views

A *special* sequence of dots and lines (from first to last)

What you see here is a complete sequence of dots and lines. Can you tell me what this sequence represents?
10 votes
1 answer
552 views

Form the English alphabet using thirteen people

Thirteen well known people (some of them alive and some of them deceased) are numbered from 1 to 13. Instead of revealing who they are, the following clues are provided: An Italian football player. ...
16 votes
1 answer
2k views

This won't work with US states

This puzzle is part of the Monthly Topic Challenge #12: mobile-friendly puzzles. For each of the following sequences, identify the three missing terms (marked by '???'): Nitrogen, Fluorine, Argon, ...

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