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2 years ago

-4,-8, -16,... what is the 7th term sequence

Mathematics

1 answer:

AVprozaik [17]2 years ago

8 0

If the sequence is -4,-8,-16,.. then the seventh term be -256.

Given a sequence be -4,-8,-16,...

We are required to find the seventh term of the sequence.

If we carefully observe the sequence then we will find that the sequence is a geometric progression.

Geometric progression is a sequence which has a common ratio between all the terms.

Ratio of 2nd and 3rd term=-8/-4=2

Ratio of 3rd and 2nd term=-16/-8=2

Because the ratio is equal, so the sequence will be called a geometric progression.

Nth term of G.P=a $r^{n-1}$

7th term=-4* $(2)^{7-1}$

=-4*64

=-256

Hence if the sequence is -4,-8,-16,.. then the seventh term be -256.

Learn more about geometric progression at brainly.com/question/24643676

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