57

I would expect the answer to be Because


41

The next number in the sequence is: The sequence he is following is:


31

D is equal to: Explanation:


26

The rule of the sequence is: Example & Answer:


25

Try looking at this another way round. Specifically: The answer is beneath this spoiler - but try to solve it yourself first before you look. You see, all of these are: The giveaway is:


22

How about this sequence as each term is


16

The rule is: The missing 7 digits are:


15

So it looks like Which means the next two numbers are (I think)


15

It's pointing you to The code is a I figured this out by noticing that


14

I claim that no arrangement is possible in the case with cards ace through four. Note that _A_A_A_A_ (_ is any other card) must be part of the arrangement. Now consider two cases: the row starts and ends with aces - this is obviously not possible, since that arrangement would only hold 7 cards, and we require 16. there are cards to the left and right ...


14

OH MY GOD I just got it. Like, as I was looking at my own question. Boy do I feel silly. The next number is PHEW that was bugging the bejeezus out of me! Hahaha


14

@athin has found the mathematical pattern in the sequence and created a useful general way to display it pictorially (go see their post and upvote). However, a slightly more accurate diagrammatic rendering would be as follows: This is because the sequence reflects: The significance of 23 March in the hints is that: The pattern emerges as: Why does the ...


13

The answer is The individual answers, starting from top left and moving right, are Then use A-Z = 0-25.


12

I found it's It's sequence where


12

The answer is: Reason:


10

Are the next 3 terms The numbers are So: Continuing the sequence: The same pattern applies for the second hint, and the third


10

Based on @WhatsUp 's progress, here's the solution


10

The next number is:


10

The numbers If we then and And I think the secret word is Confession:


10

I think the next element of the sequence is Reasoning


10

The sequence can be visually illustrated as the following: For the mystery part, it also somewhat illustrates: The formula of the sequence is:


10

This is my first time using this site so bear with me if I don't know what I'm doing. Answered this but it was deleted? So I'll try again.


9

A similar answer to Quintec's (asserting that it is impossible): Consider that you only have 12 cards that are not a 4, and that you need 12 total cards between the 4s. So the entire arrangement must look like 4 _ _ _ _ 4 _ _ _ _ 4 _ _ _ _ 4 As per Quintec's observation, somewhere in there we must have _ A _ A _ A _ A _ But you can see that there ...


9

The next number will be And then You are It was feaseble without the hints, but the first hint confirm my thought.


9

The next value is The pattern is


9

There seems to be an error in the sequence. However, the result is the same even after this mistake:


9

Strongly inspired by Mahdi Mahmoodian's answer:


9

Partial answer, mostly observations but lots of them. Might be useful as a springboard if someone else can spot a unifying pattern between all of these. Observations: Colours for circles are Colours for numbers are So we notice that More observations, focusing now on the same-colour patterns: And: My theory is that the number in each circle depends in ...


9

The next element in the sequence is: Why? Because each item in this sequence corresponds to: If you're interested in calculating further terms of the sequence...


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