3, 4, 7, 7, 13, 13, 21, 22, 31, 34, ?

3, 4, 7, 7, 13, 13, 21, 22, 31, 34, ?

Question

3, 4, 7, 7, 13, 13, 21, 22, 31, 34, ?


A. 52
B. 51
C. 42
D. 43


Answer: D

Solution:

The given sequence is a combination of two series :

I. 3, 7, 13, 21, 31, ? and

II. 4, 7, 13, 22, 34

The pattern in I is + 4, + 6, + 8, + 10,…..

The pattern in II is + 3, + 6, + 9, + 12,…..

So, missing term = 31 + 12 = 43

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