Question

What is the 17th term of the arithmetic sequence 16, 20, 24, …?

Answer 1

`color(blue)(a_17 = 80`

Explanation:

The sequence is
`16, 20, 24`

The common difference is
`d=20-16=4` or
`d=24-20=4`

The 17th term can be obtained by formula
`color(blue)(a_n=a_1+(n-1)*d`

`a_1=16` , `d=4` and `n=17`

So,
`color(blue)(a_17 = a_1 + (17-1)*4`
`=16 + 16*4`
`color(blue)(a_17 = 80`