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

Question

3 years ago

5

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

Mathematics

1 answer:

trapecia [35] · Answer 1 · 2022-07-12T11:59:50+03:00

trapecia [35]3 years ago

5 0

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