Given f(n) is a geometric sequence where f(3)=32 and f(9)=72, find f(16).

I think the answer may be 64/27, but I don't know for sure.

f(16)=162

Step-by-step explanation:

-In a geometric sequence, the quotient between any tow consecutive numbers is called the common ratio,r:

Given that f(3)=32 and f(9)=72, we can find the common ratio as below:

#We substitute and use the same formula to find the nth term:

let f(3) be a(the first term):

Hence, f(16)=162

its an acute right triangle

step-by-step explanation: