Find the 10th term of the geometric sequence show below
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Answer:
a10 = 17,578,125·x^30
Step-by-step 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