# Write the next number in this geometric sequence -3.24, 9.72, -29.16, 87.48

Write the next number in this geometric sequence -3.24, 9.72, -29.16, 87.48
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Alexandria Rubio
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.
$\left(-3.24\right){\left(-3\right)}^{n}$ where n is an integer starting at 0
$\left(-3.24\right){\left(-3\right)}^{0}=-3.24$
$\left(-3.24\right){\left(-3\right)}^{1}=9.27$
$\left(-3.24\right){\left(-3\right)}^{2}=-29.16$
$\left(-3.24\right){\left(-3\right)}^{3}=87.48$
$\left(-3.24\right){\left(-3\right)}^{4}=-262.44$