`a_n = 2+2/n - 1/n^2` Write the first five terms of the sequence.

`a_n=2+2/n-1/n^2`

Assume n begins with 1,

`a_1=2+2/1-1/(1)^2=2+2-1=3`

`a_2=2+2/2-1/2^2=2+1-1/4=11/4`

`a_3=2+2/3-1/3^2=2+2/3-1/9=23/9`

`a_4=2+2/4-1/4^2=2+1/2-1/16=39/16`

`a_5=2+2/5-1/5^2=2+2/5-1/25=59/25`

The first five terms of the sequence are `3,11/4,23/9,39/16,59/25`