Concept explainers
To verify: The arithmetic sequence and geometric sequence.
Answer to Problem 98AYU
Yes, a sequence can be both arithmetic and geometric, if it is a constant sequence.
For example, k, k, k,……………….
Explanation of Solution
Given information:
Let, the arithmetic and geometric sequence be:
Calculation:
The nth term of both the sequence should be equal.
Therefore,
This is only possible when d = 0 and r = 1 as
Therefore, both the sequence become constant sequence.
Hence, a sequence can be both arithmetic and geometric, if it is a constant sequence. (Verified)
For example, k, k, k,……………….
Chapter 12 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Calculus and Its Applications (11th Edition)
Glencoe Math Accelerated, Student Edition
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
University Calculus: Early Transcendentals (3rd Edition)
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