The nth term is

¯¯¯¯¯¯¯¯¯¯¯(n)52=(10n+5)2=100n2+100n+25=100n(n+1)+25

=¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯[n(n+1)]25

Example :

To find the 20th term,we calculate 20(20 + 1) = 420

So the answer is 42025

The n^th term is

\(\overline{\left(n\right)5}^2=\left(10n+5\right)^2=100n^2+100n+25=100n\left(n+1\right)+25\)

\(=\overline{\left[n\left(n+1\right)\right]25}\)

Example :

To find the 20^th term,we calculate 20(20 + 1) = 420

So the answer is 42025