Find a formula for the general term An

Question

For each sequence, find a formula for the general term A_n . For example, answer n² if given the sequence: [1,4,9,16,25,36...]

 

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

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

Answer 1

Sequence 1 = (n+2)/[(n+3)^2]

Sequence 2 = 1/[2^n]

 

These problems can be difficult. It takes looking for patterns, and that comes more easily with practice. Remember the first term, n=1, second n=2,...