Find the sum to infinity of the geometric progression with first three terms 0.5, 0.5^3 and 0.5^5

Answer 1

a1 = .5 = 1/2

r = common ratio = .5^2 = .25 = 1/4

sum = a1/(1-r) = (1/2)/(1-1/4) = (1/2)/(3/4) = (1/2)(4/3) = 2/3