Question

Consider the given geometric sequence.

Answer 1

F5=(256)f1=16 hope this helps

Answer 2

Answer: The common ratio is  2.

$f(1)=16$

$f(5)=256$

Step-by-step explanation:

The given geometric sequence. is

16, 32, 64, 128, ...

Also, The common ratio (r)=$\frac{a_{n+1}}{a_n}=\frac{a_2}{a_1}=\frac{32}{16}=2$

Hence, the common ratio (r)= 2

Given that the sequence is represented by the function f.

Then $f(n)=a_1r^{n-1}$

Then, the first term of G.P. =$f(1)=16$

For n=5, $f(5)=16(2)^{5-1}=16(2)^4=16\times16=256$

Hence, f(5)=256