how to calculate nth term of this series?


How to calculate nth term of this series can anyone help with explanation?

If you carefully observe the difference between adjacent elements forms a series and that looks like


nth in the initial series is equal to the sum of first n terms in the above series and that can be done easily. If you still have any doubt please do comment and here is the link to my solution.

1 Like

if n is even then nth term=(n/2)^2

if n is odd then nth term=(n-1)/2 * (n+1)/2

1 Like