Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

45, 54, 47, ?, 49, 56, 51, 57, 53

Answer: Option C

Explanation:

The given sequence is a combination of two series:

I. 45, 47, 49, 51, 53 and II. 54, ?, 56, 57

Clearly, II consists of consecutive natural numbers, starting from 54.

So, missing term = 55.

3, 8, 13, 24, 41, ?

Answer: Option A

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.

10, 14, 26, 42, 70, ?

Answer: Option D

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.

10, 18, 28, 40, 54, 70, ?

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

So, missing term = 70 + 18 = 88.

8, 28, 116, 584, ?

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

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