Determine whether the given series converges or diverges, and find the sum if it converges. I don't understand, help!! Thnx!

1) 20+5+(5/4)+(5/16)+...

1 answer

this is just a geometric series, where
a = 20
r = 1/4

So, the sum is

S = a/(1-r) = 20/(3/4) = 80/3