Concept explainers
a.
Find the sequence.
a.
Answer to Problem 6PS
Explanation of Solution
Calculation:
Consider the sequence,
Let us find the difference between the consecutive numbers, so,
The related sequence that is arithmetic sequence is,
The above sequence is,
The first eight terms, given by sequence
The first eight terms of the sequence is
b.
Find an arithmetic sequence.
b.
Answer to Problem 6PS
Explanation of Solution
Calculation:
The sequence of perfect cubes is,
Let us find the difference between the consecutive numbers, so,
So on and so forth, which brings us to the following sequence:
We need to again find the differences of the consecutive terms of the above sequence , that is,
And the
c.
Write the first seven terms of the related arithmetic sequence in part
c.
Answer to Problem 6PS
Explanation of Solution
Calculation:
The sequence of the perfect cubes is
As seen from (b), arithmetic sequence is
The first seven given by the sequence is,
Hence, the first seven terms, given by
d.
Find an arithmetic sequence that is related to the following sequence of perfect fourth powers.
d.
Answer to Problem 6PS
Explanation of Solution
Calculation:
Sequence of perfect fourth powers is
Differences in consecutive terms of the sequence of fourth powers is,
Again taking differences in consecutive terms of the sequence above, we get
Again taking differences in consecutive terms of the sequence above, we get
The
Hence, the arithmetic sequence is,
e.
Write the first six terms and find the
e.
Answer to Problem 6PS
Explanation of Solution
Calculation:
The
The first six terms of the sequence is given by
Hence, the first six terms of the sequence is given by
Chapter 9 Solutions
EBK PRECALCULUS W/LIMITS
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning