Concept explainers
Find next three terms of the sequence
Answer to Problem 40PPS
The next three terms are
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
Terms | Symbol | In terms of | Numbers |
Fourth term | |||
Fifth term | |||
Sixth term |
The next three terms of the sequence
Graph the terms:
Thus, the next three terms are:
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