How do you find the next two terms of the geometric sequence #20, 30, 45,...#?

1 Answer
May 3, 2018

Answer:

#67.5# and #101.25#

Explanation:

In a geometric sequence the ratio of a term with its immediately preceding term is always constant and is known as constant ratio. Therefore subsequent terms can be obtained by multiplying the term by common ratio.

Here in #20,30,45,......#, the ratio is #30/20=45/30=3/2=1.5#.

Hence next i.e. fourth term in the series is #45xx1.5=67.5#

and fifth term is #67.5xx1.5=101.25#