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

1 Answer
Don't Memorise
Aug 27, 2015

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

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