Raymond B. answered • 05/10/21
Tutor
5
(2)
Math, microeconomics or criminal justice
common ratio, r, is 1/2. If the absolute value of r is < 1, the series converges
1/5 + `1/10 + 1/20 + 1/40 ...
= .2 +.1 +.05 + .025 + ...
= .375....+ a little bit more
sum of a geometric series is a1/(1-r) = (1/5)/(1-1/2) = (1/5)/(1/2) = (1/5)(2)= 2/5 = 0.4
the sum of the infinite series converges to 0.4
