5, 2, 7, 9, 16, 25,?

The pattern is + 2, + 4, + 2, + 4, .....

So, missing term = 25 + 4 = 29.

The given sequence is a combination of two series :

I. 0, 3, 8, 15, 24, ? and II. 2, 5, 10, 17, 26

The pattern in each one of I and II is + 3, + 5, + 7, + 9, .....

So, missing term = 24 + 11 = 35.

The pattern is + 0.05, + 0.10, + 0.15,.....

So, missing term = 0.8 + 0.20 = 1.

The pattern is + 1, x 3, + 1, x 3, + 1, x 3, + 1,.....

So, missing term = 67 x 3 = 201.

Each term in the series, except the first two terms, is the product of the preceding two terms.

So, missing term = 16 x 128 = 2048.

The terms of the given series are (2³ - 1), (3³ - 1), (4³ - 1), (5³ - 1), (6³ - 1), (7³ - 1),.....

So, missing term = (8³ - 1) = (512 - 1) = 511.

The terms of the given series are 3 x l², 3 x 2², 3 x 3², 3 x 4², 3 x 5², 3 x 6²,.....

So, missing term = 3 x 7² = 3 x 49 = 147.

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

So, missing term = 95 x 5 + 4 = 479.

Each term at an even place in the series is the product of its two adjacent terms.

Thus, if the missing term be x, then we have : 7 x x = 56 or x = 56 ÷ 7 = 8.

The given series consists of squares of consecutive prime numbers

i.e. 2², 3², 5²,.....,

11², 13², 17², 19².

So, missing term = 7² = 49.