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Concept explainers
Write the equation for the nth term of the geometric sequence.
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Answer to Problem 55SGR
The nth term of the series is:
Explanation of Solution
Given:
The sequence:
Concept Used:
In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3.
The ration of 2nd term and first term is called the common ratio.
Calculation:
The sequence:
Each term in a geometric sequence can be expressed in terms of the first term
Formula for nth term of GP series is:
Exponent rule:
The nth term of the series is:
The nth term of the series
Thus, the nth term of the series is:
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