Question

Find the sum of the infinite geometric series 5+ 5/3+ 5/9+ 5/27...

Answer 1

15/2

Answer 2

first term is a = 5

Answer 3

divide any term by the previous term to find the common ratio r

r = (5/3) divided by 5
r = (5/3) times (1/5)
r = (5*1)/(3*5)
r = 5/15
r = 1/3

since |r| < 1 is true, this means we can use the formula

\[\Large S = \frac{a}{1-r}\]

Answer 4

@jim_thompson5910 is the answer 7.5?