Question

the first three terms of a geometric sequence are as follows.
-3, -6, -12
find the next two terms of this sequence.
give exact values (not decimal approximations).
-3, -6, -12, \square, \square

Explanation:

Step1: Find common ratio $r$

$r = \frac{-6}{-3} = 2$

Step2: Calculate 4th term

$\text{4th term} = -12 \times 2 = -24$

Step3: Calculate 5th term

$\text{5th term} = -24 \times 2 = -48$

Answer:

-24, -48