Question

If the sum of the first n terms of a series with n =1,2,3 … is n 2+1, what is the value of the 5 th term?

Answer 1

The value of the 5th term in the series is 26.

Step-by-step explanation:

Certainly! The given series is represented by the sum of the first n terms, expressed as n^2 + 1 . To find the value of the 5th term, substitute n = 5 into the expression: 5^2 + 1 = 26 . Therefore, the 5th term in the series is 26. This result is obtained by squaring the value of n (which is 5 in this case) and adding 1. Thus, the expression n^2 + 1 for n = 5 evaluates to 26, providing the value of the 5th term in the series.