Concept explainers
To find : the second, third and fourth terms of the sequence and the explicit formula to represent the sequence whose recursive formula is
Answer to Problem 62PPE
The second, third and fourth terms of the sequence are 16, 19and 22 respectively.
The explicit formula for given sequence is
Explanation of Solution
Given information: The recursive formula for the sequence is
Calculation:
By substituting n= 2,3 and 4 and then by using the previous term, we get the second, third and fourth terms of the sequence.
Thus, the second, third and fourth terms of the sequence are 16, 19and 22 respectively.
Now, the first term and common difference of the sequence is
Now, the explicit formula for the arithmetic sequence with first term
Thus, explicit formula for given sequence is
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