Question

Q45. What is the next number in the series given below?
5, 6, 8, 14, 38, 158, ?
O (A) 428
O (B) 628
O (C) 528
O (D) 878​

Answer 1

${Solution}$

Given to find the next series of the number :-

5 , 6 , 8 , 14 , 38 , 158 ?

Solution:-

If you observe the logic

5, 6 , 8 , 14 , 38 , 158

5 + 1 = 6

6 + 2 = 8

8 + 6 = 14

14 + 24 = 38

38 + 120 = 158

If you observe the highlighted numbers

1, 2 , 6 , 24 , 120

1 × 2 = 2

2 × 3 = 6

6 × 4 = 24

24 × 5 = 120

If you observe the highlighted numbers

2, 3 , 4 , 5 So, next should be multiply with 6

Since 120 × 6 = 720

So, for 158 we should add 720

158 + 720 = 828

So, the answer is 828 (d)