Concept explainers
To find: Whether the given sequence is arithmetic, geometric or neither. Determine the common difference and the sum of first n terms if the sequence is arithmetic. Determine the common ratio and the sum of First n terms if the sequence is geometric.
Answer to Problem 21RE
The sequence is geometric with common ration of
Explanation of Solution
Given:
The given series is
Calculation:
Consider the given series is,
The difference of the first and the second term is,
The difference of the third and the second term is,
Thus, the sequence is not arithmetic.
The common ratio of the first and the second term is,
The common ratio of the second and the third term is,
Thus, the sequence is geometric.
The sum of the first n term of the geometric sequence is,
Then,
Chapter 12 Solutions
Precalculus
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