SOLUTION: The sum of an infinite geometric series is 10/3 and the first term is 5. Determine the common ratio.

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Question 1088994: The sum of an infinite geometric series is 10/3 and the first term is 5. Determine the common ratio.
Answer by ikleyn(52852) About Me  (Show Source):
You can put this solution on YOUR website!
.
S = a%2F%281-r%29

is the formula for the sum of an infinite geometric progression with the first term "a" and the common difference "r", |r| < 1.


Hence, r = 1+-+a%2FS = 1+-+5%2F%28%2810%2F3%29%29 = 1+-+3%2F2 = -1%2F2 = -0.5.

Answer. The common ratio is -0.5.