Answered

Connect with experts and get insightful answers to your questions on IDNLearn.com. Our platform offers detailed and accurate responses from experts, helping you navigate any topic with confidence.

Select the function that represents a geometric sequence.
OA. A(n) = P+ (n-1)i P, where n is a positive integer
B. A(n) = (n-1)(P. )", where n is any real number
O C. A(n) = P(1 + i)-1, where n is a positive integer
OD. A(n) = n+ (P-1)i P, where n is a positive integer

Sagot :

The function that represents a geometric sequence is given by:

C. [tex]A(n) = P(1 + i)^{n-1}[/tex], where n is a positive integer.

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

Following this pattern, a function that is also a geometric sequence is:

C. [tex]A(n) = P(1 + i)^{n-1}[/tex], where n is a positive integer.

For the function, we have that:

[tex]a_1 = P, q = 1 + i[/tex].

More can be learned about geometric sequences at https://brainly.com/question/11847927

#SPJ1