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
EBK PRECALC.:ENHANCED W/GRAPH.UTIL.
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