Algebra-1

Given the recursive formula =  + 3 with the initial term  = −4, we need to find the explicit formula for the sequence.

The recurrence relation shows that each term is obtained by adding 3 to the previous term. Therefore, the common difference d = 3.

Find the general term:

This is an arithmetic sequence where the first term  = −4 and the common difference d = 3.

The explicit formula for an arithmetic sequence is:

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