Find the explicit formula for a 1 =-4,a n =a n-1 +9,n>=2

Given:

and where .

To find:

The explicit formula for the given recursive formula.

Solution:

We know that recursive formula of an AP is:

Where, d is the common difference.

We have,

Here, d=9.

The first term of the AP is .

The explicit formula for an AP is:

Substituting and , we get

Therefore, the required explicit formula for the given sequence is .

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step-by-step explanation: