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Find the 10th term of the geometric sequence show below

Find the 10th term of the geometric sequence show below-example-1

1 Answer

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Answer:

a10 = 17,578,125·x^30

Explanation:

The first term is ...

a1 = 9x^3

The common ratio is ...

r = (45x^6)/(9x^3) = 5x^3

The n-th term is given by ...

an = a1·r^(n-1)

Then the 10th term is ...

a10 = (9x^3)·(5x^3)^(10 -1) = 9·5^9·x^(3+27)

a10 = 17,578,125·x^30

User David Schaefgen
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