What are the next three terms of the series #{4,24,144,.........}#?

1 Answer
Jul 2, 2016

Answer:

Next three terms of geometric sequence are #864#, #5184# and #31104#.

Explanation:

In a geometric sequence, ratio between a term and its preceding term is always constant. In the given example, it is #6# as

#24/4=144/24=6#

Hence fourth term will be #144xx6=864#

Fifth term will be #864xx6=5184# and

Sixth term will be #5184xx6=31104#

Hence next three terms are #864#, #5184# and #31104#.