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 .

a28=58

step-by-step explanation:

a1=a1+(n-1)d

a28= 4+ (28-1)2

a28=4+(27)(2)

a28=4+54

a28=58

could you provide figure.