Algebra-1

Given the recursive formula  =  + 9 with the initial term  = 2, we need to find the explicit formula for the sequence.

The recurrence relation shows that each term increases by 9. Therefore, the common difference d = 9.

Find the general term:

This is an arithmetic sequence where the first term  = 2 and the common difference d = 9.

The explicit formula for an arithmetic sequence is:

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