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13 December, 19:35

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

+4
Answers (1)
  1. 13 December, 20:00
    0
    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!
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