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.

Answer 1

hint : f(n)*g(n)

Answer 2

\[a_n = 500\left(\dfrac{9}{10}\right)^{n-1}\]

Answer 3

for the 11th term,
plugin \(n=11\) and evaluate