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Wittaler [7]
3 years ago
15

Find the 8th term of the geometric sequence, given the first term and common ratio. a1=6 r=-1/3

Mathematics
1 answer:
Damm [24]3 years ago
8 0

The rule of a geometric sequence:

a_n=a_1r^{n-1}

We have:

a_1=6;\ r=-\dfrac{1}{3}

Find a_8=?\to n=8

substitute:

a_8=6\cdot\left(-\dfrac{1}{3}\right)^{8-1}=6\cdot\left(-\dfrac{1}{3}\right)^7=6\cdot\left(-\dfrac{1}{2187}\right)=-\dfrac{2}{729}

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