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marysya [2.9K]
3 years ago
6

What is the next term in the geometric sequence -1 -2 -4

Mathematics
2 answers:
brilliants [131]3 years ago
8 0

Answer: -8

Step-by-step explanation:

We must remember that, in geometric sequences, the ratio between the consecutive terms is constant.This is called "Common ratio" and is represented with "r".

We need to find the common ratio of this geometric sequence:

Divide one term by the previous term:

r=\frac{-4}{-2}\\\\r=2

Then, the next term asked in the exercise can be found by multiplying -4 by 2.

Therefore, this is:

next\ term=(-4)(2)\\\\next\ term=-8

DENIUS [597]3 years ago
7 0

Answer:

-8

Step-by-step explanation:

r=2

so multiply third term by 2

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Answer:

b = 7

Step-by-step explanation:

108 = -2(-5 - 7b)

Distribute -2 to the terms inside the parenthesis:

108 = 10 + 14b

Subtract 10 from both sides of the equation to isolate 14b:

108 - 10 = 10 + 14b - 10

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Divide 14 on both sides of the equation to solve for b:

\frac{98}{14}  = \frac{14b}{14}

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