10

I think the next element of the sequence is Reasoning


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...


7

where By this logic T(9) is


6

I think the answer is Reasoning


6

My answer is


6

Partial Answer From Googling about a bit it seems like all the words are In particular, the correspondence seems to be Why did I run around crazy for after this? What's my problem? No idea on the Bonus but maybe somebody else will get inspiration.


4

I think these are the However, they do not seem to match The hints are


3

The pattern is Hence, the next number is


2



2

I think they are


2

The next number is Why:


2

As you can see above, the number $1$ is expelled in the first row. The number sequence $ (-1,1,-2,2,-3,3,-4,4,…) $ describes the relative position from the expelled number (assuming the number at the position exists). Now, number at position $-1$ for $1$ doesn't exist. So moving on to next, we get position $1$ which is 2. Obviously numbers at position $\lt 0$...


1



1

The sequence is: So a longer list includes:


1

Maybe it got a little too simple with the last hint. But here goes... So... However...


1

Answer of the first puzzle should be Rule: Then


1

Third one Since


1

Puzzle one: Puzzle two (solved by Jeremy Dover):


1

I think the answer to the first grid is as follows Reasoning Less certain, but I think the answer to the second grid is as follows Reasoning


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