6, 15, 35, 77, 165, 221

Each term in the series is obtained by adding 22 to the preceding term.

So, 186 is wrong and must be replaced by (165 + 22) i.e. 187.

The pattern is x 3 + 4, x 4 + 4, x 5 + 4,.....

So, missing term = 584 x 6 + 4 = 3508.

The pattern is + 8, + 10, + 12, + 14, .....

So, missing term = 70 + 18 = 88.

Each term in the series, except the first two terms, is 2 more than the sum of the preceding two terms.

So, missing term = (42 + 70) + 2 = 114.

The pattern followed is : nth term + (n + l)th term + (n + 1) = (n + 2)th term.

Thus, 1st term + 2nd term + 2 = 3rd term; 2nd term + 3rd term + 3 = 4th term and so on.

So, missing term = 6th term = 4th term + 5th term + 5 = 24 + 41 + 5 = 70.

The correct pattern is + 5, + 8, + 11, + 14,.....

So, 47 is wrong and must be replaced by (32 + 14) i.e. 46.

Each term of the series is obtained by multiplying the preceding term by 2.

So, 96 is wrong and must be replaced by (64 x 2) i.e. 128.

The correct pattern is x 1 + 1, x 2 + 2, x 3 + 3, x 4 + 4,.....

So, 32 is wrong and must be replaced by (10 x 3 + 3) i.e. 33.

The correct pattern is - 20, - 25, - 30,.....

So, 0 is wrong and must be replaced by (30 - 35) i.e. - 5.

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

(7²+1),.....

So, 64 is wrong and must be replaced by (8² + 1) i.e. 65.