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Olegator [25]
3 years ago
14

Brainliest answer

Mathematics
1 answer:
Flura [38]3 years ago
5 0

A geometric sequence is a sequence of numbers that follows a pattern where the next term is found by multiplying by a constant called the common ratio, q:

a_n=a_{n-1}\cdot q=(a_{n-2}\cdot q)\cdot q=a_{n-2}\cdot q^2=...,\\ a_n=a_1\cdot q^{n-1}.

Given the functions f(n)=11 and g(n)=\left(\dfrac{3}{4}\right)^{n-1}, you can consider a_n=11\cdot \left(\dfrac{3}{4}\right)^{n-1} as n-th term of the geometric sequence with first term a_1=11 and common ratio q=\dfrac{3}{4}.

For n=9,

a_9=11\cdot \left(\dfrac{3}{4}\right)^{9-1} =11\cdot \left(\dfrac{3}{4}\right)^8=1.101.

Answer: the correct choice is B.

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