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# Find the next three terms of the sequence -8, 24, -72, 216, . . .?

**Solution:**

Given sequence is -8, 24, -72, 216, . . .

Common ratio r = t_{2}/ t_{1} = 24/ -8 = -3

Also t_{3}/t_{2} = -72/24 = -3

The given sequence is a Geometric sequence.

The general term nth term of the geometric sequence is given by:

a_{n} = a · r^{n - 1}

Where a and r being the first term and the common ratio respectively.

Here, a_{1} = a = -8 and r = -3

Next three terms are:

a_{5} = a · r^{5 - 1} = (-8)×(-3)^{4} = -648

a_{6} = a · r^{6 - 1} = (-8)×(-3)^{5} = 1944

a_{7} = a · r^{7 - 1} = (-8)×(-3)^{6} = -5832

## Find the next three terms of the sequence -8, 24, -72, 216, . . .?

**Summary:**

The next three terms of the sequence -8, 24, -72, 216, . . . are -648, 1944 and -5832.

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