Concept explainers
(a)
To explain:
The sequence and the way to denote the terms of a sequence.
Explanation of Solution
A sequence is a function
The terms of the sequence can be expressed as,
Here, the first term is
The sequence with
(b)
To find:
The formula for sequence of even numbers and formula for sequence of odd numbers.
Answer to Problem 1CC
The formula for sequence of even numbers and formula for sequence of odd numbers are
Explanation of Solution
Calculation:
The sequence of even number is,
The first term of the sequence is
Substitute 2 for
The sequence of odd number is,
The first term of the sequence is
Substitute 2 for
Conclusion:
Hence, the formula for sequence of even numbers and formula for sequence of odd numbers are
(c)
To find:
The first three terms and the 10thterm of the sequence given by
Answer to Problem 1CC
The first three terms of the sequence
Explanation of Solution
Given information:
The sequence is,
Calculation:
Substitute
Substitute 2 for n in equation (1) to obtain the second term.
Substitute 3 for n in equation (1) to obtain the third term.
Substitute 10 for n in equation (1) to obtain the tenth term.
Conclusion:
Hence, the first three terms of the sequence
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Chapter 8 Solutions
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