Concept explainers
To calculate:
Tell whether the sequence
Answer to Problem 2MRE
The given sequence
Explanation of Solution
Given information:
The given sequence is,
Formula:
The formula of geometric sequence is,
Where,
Calculation:
The given sequence is,
Here, check if the sequence is arithmetic
The difference between the two consecutive terms is not same. Thus the sequence is not arithmetic.
Now, check if the sequence is geometric.
The common ratio exists in the given sequence. Thus the sequence is geometric sequence.
Now, to find the nth term of the geometric sequence,
Here in the given sequence,
Substituting all the values in the given formula,
The nth term of the geometric sequence is
Chapter 11 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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