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Given series formed in definite pattern and next number follows the predecessor. 

1)

Find the next number of the series 1,2,6,21,88......


A) 176

B) 126

C) 338

D) 445

Answer:

Option D

Explanation:

The series in a pattern that the number multiplies by the previous term with k and add k to get the result.
2=1(predecessor)multiplies by 1(k) and add 1(k)
6=2X2+2 (K=2)
21=6X3+3(K=3)
88=21X4+4(K=4)
So, the next number k should be 5.

So, 88X5+5=445.