Question

f(5)=12 for a geometric sequence that is defined recursively by the formula f(n)=0.3*f(n-1), where n is an integer and n>0. Find f(7). Round your answer to the nearest hundredth.

Answer 1

If you would like to find f(7) and round the answer to the nearest hundredth, you can do this using the following steps:

n > 0
f(n) = 0.3 * f(n-1)
f(5) = 12

f(6) = 0.3 * f(6-1) = 0.3 * f(5) = 0.3 * 12 = 3.6
f(7) = 0.3 * f(7-1) = 0.3 * f(6) = 0.3 * 3.6 = 1.08

The correct result would be 1.08.