(a)
The common ratio for the given sequence.
(a)
Answer to Problem 4RE
The common difference of
Explanation of Solution
Given: The sequence is
Definition used:( Geometric Sequence).
A sequence
Calculation:
The terms are
The common ratio between the first two terms is,
The common difference between the second term and third term is,
Similarly, the common ratio for the consecutive terms of
Therefore, the common difference of
(b)
The seventh term for the given sequence.
(b)
Answer to Problem 4RE
The seventh term of the sequence
Explanation of Solution
Given: The sequence is
Definition used:( Geometric Sequence).
A sequence
Calculation:
The first term is
Substitute
Thus, the seventh term of the sequence is
Therefore, the seventh term of the sequence
(c)
The explicit rule for the nth term of the given sequence.
(c)
Answer to Problem 4RE
The explicit rule for the nth term of the sequence
Explanation of Solution
Given: The sequence is
Definition used:( Geometric Sequence).
A sequence
Calculation:
Substitute
Therefore, the explicit rule for the nth term of the sequence
Chapter 8 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
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