Question

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

Answer 1

Answer:

$T_n = T_{n-1}+3$ where n>1

Step-by-step 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 $n>1$