Algebra-1

Given the recursive formula =  + 12 with the initial term  = −8, we need to find the explicit formula for the sequence.

The recurrence relation shows that each term increases by 12 from the previous term. Therefore, the common difference d = 12.

Find the general term:

This is an arithmetic sequence where the first term  = −8 and the common difference d = 12.

The explicit formula for an arithmetic sequence is:

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