Concept explainers
To Explain: The exponents of the terms of an arithmetic sequence from a geometric sequence
Explanation of Solution
Given Information:
Concept Used:
• The
•
•
The
Then the exponents of the terms are
The ratio of the exponent of the two terms is therefore
It means that the ratio of exponents of any two consecutive terms of the arithmetic sequence is constant and is equal to
Therefore, the sequence of exponents of the terms of the arithmetic sequence form a geometric sequence, with common ratio
Chapter 9 Solutions
Calculus: Graphical, Numerical, Algebraic
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