Question

Write an equation for the nth term of the arithmetic sequence 8, 17,26, 35..... . In this Sequence, a1

Answer 1

Answer:

$T_n = 9n - 1$

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:

$T_n = a + (n - 1)d$

Where

$a = First\ Term = 8$

$d = Common\ Difference = 17 - 8$

$d = 9$

So, we have:

$T_n = a + (n - 1)d$

$T_n = 8 + (n - 1) * 9$

$T_n = 8 + 9n - 9$

$T_n = 9n - 9 + 8$

$T_n = 9n - 1$