Answer:
[tex]T_n = 9n - 1[/tex]
Step-by-step explanation:
Given
8, 17,26, 35....
Required
Determine the nth term
The sequence is an Arithmetic sequence and is calculated as thus:
[tex]T_n = a + (n - 1)d[/tex]
Where
[tex]a = First\ Term = 8[/tex]
[tex]d = Common\ Difference = 17 - 8[/tex]
[tex]d = 9[/tex]
So, we have:
[tex]T_n = a + (n - 1)d[/tex]
[tex]T_n = 8 + (n - 1) * 9[/tex]
[tex]T_n = 8 + 9n - 9[/tex]
[tex]T_n = 9n - 9 + 8[/tex]
[tex]T_n = 9n - 1[/tex]
