Algebra-1

Given the recursive formula =  − 6 with the initial term  = 20, we need to find the explicit formula for the sequence.

The recurrence relation shows that each term is obtained by subtracting 6 from the previous term. Therefore, the common difference d = −6.

Find the general term:

This is an arithmetic sequence where the first term  = 20 and the common difference d = −6.

The explicit formula for an arithmetic sequence is:

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