Which number should come next at the end of this series: 1, 4, 9, 16?

Solution:

Given series 1, 4, 9, 16

We can clearly see that the first term is square of 1

The second term, 4 is square of 2

The third term, 9 is square of 3

The fourth term, 16 is square of 4

Hence, the series is the square of natural numbers ⇒1², 2², 3², 4²,......

The next term in the series will be the square of 5

Hence, 25 should come next in the given series.

Which number should come next at the end of this series: 1, 4, 9, 16?

Summary:

The number 25 should come next at the end of the given series:1,4,9,16