Answer:
A - 48,96, -192
Step-by-step explanation:
Given:
geometric sequence:
-3, 6, -12, 24,
geometric sequence has a constant ratio r and is given by
an=a1(r)^(n-1)
where
an=nth term
r=common ratio
n=number of term
a1=first term
In given series:
a1=-3
r= a(n+1)/an
r=6/-3
r=-2
Now computing next term a5
a5=a1(r)^(n-1)
= -3(-2)^(4)
= -48
a6=a1(r)^(n-1)
= -3(-2)^(5)
= 96
a7=a1(r)^(n-1)
= -3(-2)^(9)
= -192
So the sequence now is -3, 6, -12, 24,-48,96,-192
correct option is A!
