Concept explainers
Decreasing Sequence Consider the sequence
(a) Use a graphing utility to graph the first
(b) Use the graph from part (a) to estimate the value of
(c) Complete the table.
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(d) Use the table from part (c) to determine (if possible) the value of
(a)
To find:
The first
Answer to Problem 1PS
Solution:
The first
Explanation of Solution
Given:
Approach:
If the given series is in the form of
Calculation:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
From the above calculation first
Table-1
The following figure represents the graph of the sequence
Figure (1)
(b)
To find:
The value of
Answer to Problem 1PS
Solution:
Explanation of Solution
Calculation:
Substitute
From above calculation the value of
Conclusion:
Hence, the value of
(c)
To find:
The terms
Answer to Problem 1PS
Solution:
The terms are
Explanation of Solution
Calculation:
Substitute
Substitute
Substitute
Substitute
Substitute
From the above calculation the terms are shown in following figure.
(d)
To find:
The value of
Answer to Problem 1PS
Solution:
Explanation of Solution
Calculation:
Substitute
From above calculation the value of
Conclusion:
Hence, the value of
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