22, 24, 28,?, 52, 84

The given sequence is a combination of two series:

I. 13, 24, 35, 46, 57 and II. 32, 43, ?, 65, 76

The pattern in both I and II is + 11. So, missing term = 43 + 11 = 54.

The given series consists of cubes of natural numbers only. 256 is not the cube of

any natural number.

The given sequence is a combination of three series :

I. 1st, 4th, 7th, 10th, 13th terms i.e. 2, 4, 6, 8, ?

II. 2nd, 5th, 8th, 11th terms i.e. 1, 4, 7, 10

III. 3rd, 6th, 9th, 12th terms i.e. 2, 5, 8, 11

Clearly, I consists of consecutive even numbers. So, the missing term is 10.

The pattern is x 3, + 4, x 5, + 6, x 7,.....

So, missing term = 1127 + 8 = 1135.

The pattern is + 1, x 1, + 2, x 2, + 3, x 3, + 4, x 4, + 5.

So, missing term = 13 x 3 = 39.

The terms of the given series are (2² - 1), (4² - 1),....., (8² - 1), (10² - 1), (12² - 1).

So, missing term = (6² - 1) - (36 - 1) = 35.

Clearly, 90 = 30 x 3, 180 = 6 x 30, 12 = 2 x 6, 50 = 25 x 2, 100 = 4 x 25, 200 = 50 x 4.

So, missing term = 3 x 50 = 150.

The pattern is ÷ 2, x 4, ÷ 2, x 4, .....

So, missing term = 192 ÷ 2 = 96.

The pattern is + 13, + 26, + 39,.....

So, missing term = 80 + 52 = 132.

The pattern is + 5, + 10, + 15, + 20, ...

So, missing term = 56 + 25 = 81.