Question

Find the missing term in the series given below.

8, 32, 72, 128, ?

A) 220
B) 180
C) 400
D) 200​

Answer 1

Given:

A series of numbers 8, 32, 72, 128.

To Find:

The next term in the series is?

Solution:

The given problem can be solved by developing a common logic between every term.

1. The given series is 8, 32, 72, 128.

2. The second term in the series is obtained as,

=> Second term = 32 = 8 + 8 x 3, ( First term + 8 x 3 )

3. The third term of the series is obtained as,

=>Third term = 72 = 32 + 8 x 5, ( Second term + 8 x 5 )

4. The fourth term of the series is obtained as,

=>Fourth term = 128 = 72 + 8 x 7, ( Third term + 8 x 7 )

5. The fiftth term of the series can be obtained using similar logic,

=> Fifth term = Fourth term + 8 x 9 = 128 + 72 = 200.

Therefore, the next number in the series is 200. Option D is the correct answer.