Write an equation for the nth term of the given geometric sequence

-12,-36,-108 ... an

nth term of the geometric sequence

an = - 12*3^ (n-1)

Step-by-step explanation:

First term

a = - 12

Second term

ar = - 36

-12r=-36

r=-36/-12

=3

Third term

ar^2 = - 108

-12 (3) ^2

= - 12 (9)

= - 108

nth term of the geometric sequence

an=ar^ (n-1)

= - 12*3^ (n-1)