Celest

Guided Practice

4. Find the next three terms in the sequence.

etric Sequences

-3, 6, - 12, 24, ...

A - 48,96, - 1923

hential Growth and

B 48, - 96, 192

stest

C - 36, 72, - 144

mials

mials and Factoring

nic Equations and

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!