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

1 Answer
Jul 27, 2015

=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