
Concept explainers
To evaluate: The sequence

Answer to Problem 84E
The common ration of sequence
Explanation of Solution
Proof:
Section1:
The geometric sequence is given,
The common ratio of this sequence is r.
The common ratio determines the ratio of second and first term of the sequence (1) is equal to the ratio of third term and second term of the sequence (1),
And,
So, the relation between terms is,
The above relation defines the property of geometric series.
The sequence is given,
If the above sequence is geometric sequence then it satisfies the relation
If the sequence is geometric then the ratio of second and first term of the sequence (2) is equal to the ratio of third term and second term of the sequence (2),
So, above statement gives below relation,
The above relation satisfies the property of geometric sequence.
Thus, the sequence
Section2:
From Section1, the sequence
The common ratio of this sequence is the ratio of second term and first term,
Thus the common ratio of sequence is
Chapter 12 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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