Question

Write general term of
A )1/2,1.3/2.4,1.3.5/2.4.6,1.3.5.7/2.4.6.8……………
b )1/2,-4/9,9/28,-16/65…………..

Answer 1

First one is

X_n = (2n-1)/2n - X_(n-1) (n=0,1,2.....)

Answer 2

Second one is

X_n = (-1)^(n-1) n^2/(n^3+1) (n=1,2...)