The recursive formula for given sequence is:
And the terms will be expressed as:
Step-by-step explanation:
First of all, we have to determine if the given sequence is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio
Given sequence is:
11,4,-3,-10,-17...
Here
As the common difference is same, given sequence is an arithmetic sequence.
A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference
So, the recursive formula for an arithmetic sequence is given by:
Hence,
The recursive formula for given sequence is:
And the terms will be expressed as:
Keywords: arithmetic sequence, common difference
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