Read the numbers and decide what the next number should be. 256, 196, 144, 100, 64, 36, 16,…?

Solution:

Given series 256, 196, 144, 100, 64, 36, 16,…

The first term 256 is square of 16

The second term 196 is square of 14

The third term 144 is square of 12

The fourth term 100 is square of 10

The fifth term 64 is square of 8

The sixth term 36 is square of 6

The seventh term 16 is square of 4

The series look like squares of even numbers from 16 to 0 in decreasing order

Hence, the next even number after 2

The square of 2 is 4.

Hence, the next term is 4.

Read the numbers and decide what the next number should be. 256, 196, 144, 100, 64, 36, 16,…?

Summary:

The next number should be in the series 256, 196, 144, 100, 64, 36, 16,…is 4.