40

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


16

The rule is: The missing 7 digits are:


12

I found it's It's sequence where


12

The answer is: Reason:


12

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


10

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


8

Partial Answer I think this puzzle is related to: Partial Examples $(39 = 65 = 68 = 70 \approx 67) \subset 69 \mapsto 90$ $2 < 80 < 52 < (58 \approx 46) < 92 < 93 \le 94$ The remaining examples, FYI: Question (Unsolved) $\text{75 and 34, where are they?}$ Bonus Question $37 \approx 55 \land 37 \ne 55, \text{why}?$


7

The next number in the first sequence is Reasoning The next number in the second sequence is Reasoning


7

If we insert then the resulting sequence Where do these numbers come from? Well, We would then continue with


7

The rule is: Thanks to @Stiv, we also know that: Starting with 0: You can't go further because This may not be all there is to it though.


7

To add on to tansy's answer,


4

Solving the number puzzles: See Jens's answer - I didn't manage to get this one. See Jens's answer - I didn't manage to get this one. Turning the numbers into letters: The final step, motivated by the appearance of is to yielding the solution.


4

The answer is: The sequence is given by: Hint 1 refers to: Hint 2 refers to: Hint 3 refers to: Hint 4 refers to:


4

First 2 pairs, 69-12=+57, 961-1018=-57 So, the last 2 pairs would probably follow the same reasoning to get +57 and -57 respectively. First ?=2812, Second ?=5269


4

The rule is: Question 1: Question 2: Question 3:


2

The next one is because each line is Read it like this:


2

6 = As the sequence is


2

The answer is Reason


2

As the number of rabbits added is thrice that of the original, the population of rabbits is quadrupled every 3 months. As such the growth can be modelled by $4^{(n/3) + 1}$, where n is the time in months after the first adoption. This can also be done iteratively as such: 0 months: 2F, 2M 3 months: 2F, 2M + 2(3F + 3M)...


1

It follows So,


1

How many rabbit maximum would Roger have after a year from the adoption of his pets? How exactly can I find the number of rabbits in this situation? For this situation, I would just write it down. There are only four steps to take (4 quarters in a year), thus not much work to write it down. The growing rate is exatcly the same for the female as for the ...


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