Respuesta :

Answer:

Option B

Step-by-step explanation:

Given are 4 sequences and we have to find which one represents a geometric sequence.

We know that geometric sequence will be of the form

a, ar, ar^2,....

On scrutinising the options we get first option does not have the term multiplied by common ratio

OPtion I is incorrect

Option II is a geometric sequence with common ratio (1+i)

Option III is not a geometric sequence since the exponents are all real numbers

Option IV is also incorrect.

MrRoyal

The function that represents a geometric sequence is [tex]A(n) = P(1 + i)^{n- 1}[/tex]

How to determine the function?

A geometric function is represented as:

[tex]A(n) = ar^n[/tex]

The above function can be modified as follows:

[tex]A(n) = a(r)^n[/tex]

Looking through the options, we have:

[tex]A(n) = a(r)^n[/tex] is similar to [tex]A(n) = P(1 + i)^{n- 1}[/tex]

Hence, the function that represents a geometric sequence is [tex]A(n) = P(1 + i)^{n- 1}[/tex]

Read more about geometric sequence at:

https://brainly.com/question/12006112

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