Question

.Given the functions f(n) = 500 and g(n) = (nine tenths)n _ 1, combine them to create a geometric sequence, an, and solve for the 11th term.

an = 500 _ (nine tenths)n _ 1; a11 _499.651

an = 500 + (nine tenths)n _ 1; a11 500.349

an = 500(nine tenths)n _ 1; a11 174.339

an = (500 ´ nine tenths)n _ 1; a11 340.732

Answer 1

it would be c hope this helps

Answer 2

The original functions are: f(n) = 500 and g(n) = [9/10]^(n-1)

A geometric sequence combining them is: An = f(n)*g(n) = 500*[9/10]^(n-1):

Some terms are:
A1= 500
A2 = 500*[9/10]
A3 = 500*[9/10]^2
A4 = 500*[9/10]^3
....
A11 = 500*[9/10]^10 ≈ 174.339

Answer: the third option, An = 500[9/10]^(n-1); A11 = 174.339