Help please What is the sum of the first 5 terms of a geometric sequence with a1=10 and r=1/5?
Express your answer as an improper fraction in lowest terms without using spaces

Question

Help please What is the sum of the first 5 terms of a geometric sequence with a1=10 and r=1/5?
Express your answer as an improper fraction in lowest terms without using spaces

anonymous · Answer

a1=10. r=1/5

10 is starting term. 1/5 is the multiplier.

10 x (1/5) = 2
2 x (1/5) = 2/5
(2/5) x (1/5) = 2/25
(2/25) x (1/5) = 2/125
(2/125) x (1/5) = 2/625

add all those answers together using a common denominator of 625 to get the sum. Then simplify