If n represents a number in the following sequence, the next term in the sequence can be determined by using which of the following expressions? 1, 3, 9, 27 ...

27/3=9/3=3/3=1

r=3

a1 * (3) ^ (n-1)

a1=1

3^ (n-1)

An=a1 (r) ^ (n-1)

a1=first term

an=nth term

r=common ratio

n=which term

each term is 3 times the previous

seems to be a geoemetric sequence

common ratio is 3

first term is 1

so

an=1 (3) ^ (n-1)

the next term can be found by doing

f (n+1) = 3f (n)