Concept explainers
a.
To find : The first term of the given geometric series.
a.
Answer to Problem 51RE
The first term is
Explanation of Solution
Given information :
The second and the fifth term of the geometric sequence are
Calculation :
Since, the given sequence is geometric sequence. Also, the second term is
where
The fifth term is
Divide equation (2) by equation (1) and solve:
Substitute
Hence,
The first term is
b.
To find : The common ratio of the given geometric series.
b.
Answer to Problem 51RE
The common ratio is
Explanation of Solution
Given information :
The second and the fifth term of the geometric sequence are
Calculation :
Since, the given sequence is geometric sequence. Also, the second term is
where
The fifth term is
Divide equation (2) by equation (1) and solve:
Hence,
The common ratio is
c.
To find : An explicit formula for the nth term.
c.
Answer to Problem 51RE
The explicit formula for the nth term is
Explanation of Solution
Given information :
The second and the fifth term of the geometric sequence are
Calculation :
The explicit formula of a geometric series is given by
Where
Form (a) first term is
Hence,
The explicit formula for the nth term is
Chapter 9 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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