What is the next number in this geometric sequence -3.24, 9.72, -29.16, 87.48?

1 Answer
Nov 8, 2015

Answer:

The next term is #-262.44#

Explanation:

We can write an expression as follows for the nth term. The signs alternate between negative and positive. Each term is 3 times more that the preceding one with a different sign.

#(-3.24)(-3)^n# where #n# is an integer starting at #0#

#(-3.24)(-3)^0=-3.24#

#(-3.24)(-3)^1=9.27#

#(-3.24)(-3)^2=-29.16#

#(-3.24)(-3)^3=87.48#

#(-3.24)(-3)^4=-262.44#