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Given the functions f(n) = 11 and g(n) = (3/4)n _ 1, combine them to create a geometric sequence, an, and solve for the 9th term.


an = (11 ´ 3/4)n _ 1; a9 24.301


an = 11(3/4)n _ 1; a9 1.101


an = 11 + (3/4)n _ 1; a9 11.100


an = 11 _ (3/4)n _ 1; a9 9.900

Verified Answer :

nobillionaireNobley

f(n) = 11
g(n) = (3/4)^(n - 1)

To create a geometric sequence. multiply f(x) and g(x)
an = f(x)g(x) = 11(3/4)^(n - 1)

9th term is 11(3/4)(9 - 1) = 11(3/4)^8 = 11(0.100) = 1.101

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