Find the common ratio of −1/4,1/8,−1/16,1/32,...

Rigoberto Drake

Rigoberto Drake

Answered question

2022-11-20

Find the common ratio of - 1 4 , 1 8 , - 1 16 , 1 32 , ...

Answer & Explanation

avuglantsaew

avuglantsaew

Beginner2022-11-21Added 15 answers

How do we get from - 1 4 to 1 8 ? Notice our sign changed, so we multiplied by a negative.
One way to get from - 1 4 to 1 8 is to multiply by - 1 2 .
How do we get from 1 8 to - 1 16 ? We can multiply by - 1 2 again.
What about from - 1 16 to 1 32 ? We can multiply by - 1 2 .
Notice, to get to each successive term, we are multiplying by - 1 2 . This is our common ratio.

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