(a)
To find: The first term of the geometric sequence.
(a)
Answer to Problem 51RE
The first term of the geometric sequence is
Explanation of Solution
Given information: Second and fifth term of the geometric sequence are
Formula used :
of the geometric sequence respectively.
Calculation:
Substitute
Since the second term is
Now, Substitute
Since the fifth term is
Divide equation (1) by equation (2) and solve for
Substitute
Therefore, the first term of the geometric sequence is
(b)
To find: The common ratio presented in the given sequence.
(b)
Answer to Problem 51RE
The common ratio is
Explanation of Solution
Given information: Second and fifth term of the geometric sequence are
Formula used :
Calculation:
Substitute
Since the second term is
Now, Substitute
Since the fifth term is
Divide equation (1) by equation (2) and solve for
Therefore, the common ratio is
(c)
To find: An explicit formula for the
(c)
Answer to Problem 51RE
An explicit formula for
Explanation of Solution
Given information: Second and fifth term of the geometric sequence are
Formula used :
Calculation:
From part (a) and part (b) the first term and the common term are
Substitute
Therefore, explicit formula for the given problem is
Chapter 8 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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