The first four terms of a sequence are shown on the graph below.

On a coordinate plane, points are at (1, negative 3), (2, 3), (3, negative 3), (4, 3).

What can be concluded about the sequence?
The common ratio of the sequence is 3.
The common ratio of the sequence is –1.
The common difference of the sequence is 6.
The common difference of the sequence is –6.

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amna04352 amna04352 · Answer 1 · 2020-03-26T05:59:29+01:00

Answer:

The common ratio of the sequence is –1.

Step-by-step explanation:

3/-3 = -1

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Tutorconsortium323 Tutorconsortium323 · Answer 2 · 2022-07-07T21:40:50+02:00

On a coordinate plane, points are at (1, negative 3), (2, 3), (3, negative 3), (4, 3) the sequence is the common ratio of the sequence is –1.

The common ratio is the number you multiply or divide by at each stage of the sequence.

Step-by-step:

The first point should be (1, - 3)

According to the points, the sequence is:

t₁ = 3, t₂ = 3, t₃ = - 3, t₄ = 3

or

3, 3, - -3, 3, ...

We can observe it is a geometric sequence with common ratio of - 2, as:

r = 3/ - 3 = - 3/3 = 3/ 3 = - 1

The following term is:

t₅ = t₄*r = 1*(- 1) = -1

Hence , The common ratio of the sequence is –1.

Learn more about Common ratio on:

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