How do you find the next two terms of the geometric sequence 16, 24, 36, ...?

1 Answer
Alan P.
Nov 9, 2016

The fourth and firth terms are 54 and 81

Explanation:

The common ratio from one term to the next is:
color(white)("XXX")24/16=36/24=3/2

Given:
color(white)("XXX")a_1=16

color(white)("XXX")a_2=16xx3/2=24 (as given)

color(white)("XXX")a_3=24xx3/2=36 (as given)

color(white)("XXX")a_4=36xx3/2=54

color(white)("XXX")a_5=54xx3/2=81

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