MATH SOLVE

2 months ago

Q:
# celestGuided Practice4. Find the next three terms in the sequence.etric Sequences-3, 6, -12, 24, ...A - 48,96, -1923hential Growth andB 48, -96, 192stestC -36, 72, -144mialsmials and Factoringnic Equations and

Accepted Solution

A:

Answer:A - 48,96, -192Step-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=-3r= a(n+1)/an
r=6/-3
r=-2
Now computing next term a5a5=a1(r)^(n-1)
= -3(-2)^(4)
= -48a6=a1(r)^(n-1)
= -3(-2)^(5)
= 96a7=a1(r)^(n-1)
= -3(-2)^(9)
= -192So the sequence now is -3, 6, -12, 24,-48,96,-192correct option is A!