Question

An arithmetic sequence is represented by the explicit formula A(n) = 2 +(n − 1)(− 5)

What is the recursive formula?

Answer 1

`a_(n)` =
`a_(n-1)` - 5

Explanation:

Given the explicit formula

A(n) = 2 - 5(n - 1)

Compare with the standard form

A(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = - 5

A recursive formula allows a term in the sequence to be found by adding d to the previous term.

Then recursive formula is

`a_(n)` =
`a_(n-1)` - 5 , with a₁ = 2

Answer 2

a+(n-1)d please do you get it or