contestada

Which statements describe characteristics of a geometric sequence? Check all that apply.
a.There is a common difference between terms
b.Each term is multiplied by the same number to arrive at the next term.
c.The sequence increases or decreases in a linear pattern
d.There is a common ratio between terms.

Respuesta :

Each term is multiplied by the same number to arrive at the next term.

There is a common ratio between terms.

facundo3141592

We want to see which statements describe correctly a geometric sequence.

The correct option is:

b. Each term is multiplied by the same number to arrive at the next term.

A general geometric sequence is written as:

[tex]A_n = k*A_{n - 1}[/tex]

For a constant k.

This means that the n-th term of the sequence is k times the previous term of the sequence, from this, we can see that the statement b is correct.

We also can rewrite the general formula as:

[tex]\frac{A_n}{A_{n-1}} = k[/tex]

This means that there is a common ratio between consecutive terms (notice that option d does not say consecutive, so it is not a correct option).

The other two options are clearly false, and only are true in arithmetic sequences.

Concluding. the only correct option is b: "Each term is multiplied by the same number to arrive at the next term."

If you want to learn more, you can read:

https://brainly.com/question/13008517

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