Find the formula for the general term

Question

For each sequence, find a formula for the general term, A_n

1. {(3/16),(4/25),(5/36),(6/49),...}

2. {(1,2),(1/4),(1/8),(1/16),...}

Answer 1

3/4², 4/5², ...,n/(n+1)² so that A_n=n/(n+1)² for n=3,4,...

1/2, 1/2², 1/2³  A_n=1/2ⁿ for n=1,2,...