can anybody show me step by step?

Find the sum.
(a) 1/3+ 2/3^2+ 2^2/3^3+ 2^3/3^4+.......... + 2^9/3^10

S10 =

(b) 1 + 1/2^1/2+ 1/2+ 1/2^3/2+

S =

first term = 1/3

term(n+1) = (2/3) term(n)
geometric sequence with a = 1/3 and r = 2/3

look here: http://www.mathsisfun.com/algebra/sequences-sums-geometric.html