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5

The answer maybe: The reason is:

6

I think number in sequence is : Reasoning :

15

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

1

I think the answer would be: Reasoning:

2

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

2

7

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

1

It follows So,

2

6 = As the sequence is

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.

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 ...

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)...

4

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

7

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

12

7

12

I found it's It's sequence where

41

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

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 $37 \approx 55 \land 37 \ne 55, \text{why}?$

16

The rule is: The missing 7 digits are:

0

I can understand part of what's happening. It has three groups of digits. We are seeing the second and third groups. Third Group The third group is counting: 50, 65, 85, 00, 15, 35, 50, 65, 85, 00, 15, 35, 50, 65, 85, 00, 15, 35, This is a fraction counting by $1\over6$, rounded to the nearest 0.05. This part is displayed except when the value is 00 ...

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