2, 6, 24, 96, 285, 568, 567

The correct pattern is + 6, + 12, + 24, + 48, + 96, + 192.

So, 96 is wrong and must be replaced by (46 + 48) i.e. 94.

The terms of the given series are 1², (2² + 1), 3², (4²..+ 1), 5², (6² + 1), 7².

So, 15 is wrong and must be replaced by (4² + 1) i.e. 17.

The correct sequence is 3, 3², 3³, 4, 4², 4³, 5, 5², 5³.

So, 10 is wrong and must be replaced by 3² i.e. 9.

The correct pattern is x 2 - 2.

So, 48 is wrong and must be replaced by (26 x 2 - 2) i.e. 50.

The correct pattern is + 1, + 4, + 9, + 16, + 25 i.e. + 1², + 2², + 3², + 4², + 5².

So, 22 is wrong and must be replaced by (16 + 4) i.e. 20.

The given sequence is a combination of two series:

I. 3, 8, 13, 18, 23 and II. 2, 9, 22, 32, 42

The pattern in I is + 5, and the pattern in II is + 10. So, in II, 9 is wrong and must be replaced by (2 + 10) i.e. 12.

The sequence is (14)², (13)², (12)², (11)², (10)².

So, 101 is wrong and must be replaced by (10)² i.e. 100.

The correct pattern is + 2, + 4, + 8, + 16, + 32, + 64 i.e. + 2, + 2², + 2³, + 2⁴, + 2⁵, + 2⁶.

So, 84 is wrong and must be replaced by (70 + 16) i.e. 86.

The given sequence is a combination of two series:

I. 1, 5, 7, 11, 12 and II. 5, 9, 11, 15, 17

The pattern in both I and II is + 4, + 2, + 4, + 2. So, 12 is wrong and must be replaced by (11 + 2) i.e. 13.

The correct sequence is 5², 7², 9², 11², 13², 15². So, 36 is wrong.