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

Question

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

anonymous · Answer

@IMStuck

imstuck · Answer

Seeing as how the formula for a geometric sequence is$$a _{n}=a _{1}(r)^{n-1}$$the choice from above that best fits that is is the second one down.

imstuck · Answer

I will do the math on it and see if that' what I get for a_9, ok?

anonymous · Answer

ok

imstuck · Answer

yes, it comes out the same.  So your choice is the second one from the top.