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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