Question

A(n) = A(n-1) + 5.1; A(1) = 9.6

Answer 1

A(n) = 5.1×n + 4.5

Explanation:

A(n) = A(n-1) + 5.1

A(1) = 9.6

A(n) - A(n-1) = 5.1 ,where n ≥ 1

This means that (A(n)) is an arithmetic sequence where :

The common difference r = 5.1

and

The first term A(1) = 9.6

Therefore

A(n) = A(1) + (n - 1)×r

= 9.6 + (n - 1)×5.1

= 9.6 + 5.1×n - 5.1

= 5.1×n + (9.6 - 5.1)

= 5.1×n + 4.5