Question

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

Answer 1

`T_n = 9n - 1`

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`