Common ratio of geometric series
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Use the geometric sequence of numbers 1, 3, 9, 27, ... to find the following:
a) What is r, the ratio between 2 consecutive terms?
b) Using the formula for the nth term of a geometric sequence, what is the 10th term?
c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?
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Solution Summary
The solution uses simply, step by step calculations to determine the ratio between the terms, the 10th term, and the sum of the first 10 terms.
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The ratio between two consecutive terms is 3/1 = 9/3 = 27/9 ... = 3
10th term is a*r^9 = 1*3^9 = 19683
The sum of 10 ...
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