Question

Write an recursive formula for an, the nth term of the sequence 19,22,25, ....​

Answer 1

`T_n = T_(n-1)+3` where n>1

Explanation:

Given

`19,22,25, ..`

Required

Determine the recursive formula

The given sequence shows arithmetic progression (AP).

First, we calculate the common difference (d):

`d = 22 - 19 = 25 - 22`

`d = 3`

The recursive formula of an AP is determined using:

`T_n = T_(n-1)+d` where
`n>1`

Substitute 3 for d

`T_n = T_(n-1)+3` where
`n>1`