Question
Consider the following geometric series; inf,n=1 4^2n / 5^n
a) identify value of initial term a
(b) identify value of common ratio r
(c) does the series converge or diverge and why
(d) if the series converge find sum
answer in fractions
a) identify value of initial term a
(b) identify value of common ratio r
(c) does the series converge or diverge and why
(d) if the series converge find sum
answer in fractions
Answers
oobleck
4^(2n)/5^n = (16/5)^n
(a) and (b) are easy
(c) r>1 so it diverges
(a) and (b) are easy
(c) r>1 so it diverges