Answer:
[tex]T_n = T_{n-1}+3[/tex] where n>1
Step-by-step explanation:
Given
[tex]19,22,25, ..[/tex]
Required
Determine the recursive formula
The given sequence shows arithmetic progression (AP).
First, we calculate the common difference (d):
[tex]d = 22 - 19 = 25 - 22[/tex]
[tex]d = 3[/tex]
The recursive formula of an AP is determined using:
[tex]T_n = T_{n-1}+d[/tex] where [tex]n>1[/tex]
Substitute 3 for d
[tex]T_n = T_{n-1}+3[/tex] where [tex]n>1[/tex]
