`1, 1/4, 1/9, 1/16, 1/25` Write an expression for the apparent nth term of the sequence. (assume that n begins with 1)

Expert Answers

An illustration of the letter 'A' in a speech bubbles

Numerator is always 1 while the denominator is a square number, thus we can write the sequence as follows

`1/1^2,1/2^2,1/3^2,1/4^2,1/5^2,...`

From this we see that the `n`th terms is

`a_n=1/n^2`  

Approved by eNotes Editorial Team