Question

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

Answer 1

`=a_17=color(blue)(80`

Explanation:

The arithmetic sequence is
`16, 20, 24`

The common difference `d` of this sequence is
`d=20-16 = 4`

The formula for `n_(th)` of an arithmetic series is:
`color(blue)(a_n = a_1+(n-1)(d)`

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

So, `a_17 = 16 +(17-1)(4)`

`=16+64`
`=color(blue)(80`