Concept explainers
whether the sequence
Answer to Problem 55PPE
The sequence is an arithmetic sequence.
Explicit formula:
Recursive formula:
Explanation of Solution
Given sequence:
Calculation:
The difference of the terms with the previous term is
Since each term of given sequence after the first term is obtained by adding the previous one by a fixed constant, that is
The first term of the sequence is
The explicit formula for the arithmetic sequence with first term
Therefore, explicit formula for given sequence is
Now, the recursive formula for the arithmetic sequence with first term
Thus, recursive formula for given sequence is
Chapter 4 Solutions
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