QuestionIdentify the function for a geometric sequence: A. $A(n)=P+(n-1) i \cdot P$ B. $A(n)=n+(i-1) \cdot P$ C. $A(n)=(n-1)(P \cdot n)^{i}$ D. $A(n)=P(1+i)^{n-1}$

Studdy Solution
Now, let's compare each of the given functions to the general form of a geometric sequence.
A. $A(n)=+(n-1) i \cdot$
This function does not match the general form of a geometric sequence because the term $(n-1)i \cdot$ is added to $$, not multiplied.
B. $A(n)=n+(i-1) \cdot$
This function does not match the general form of a geometric sequence because the term $(i-1) \cdot$ is added to $n$, not multiplied.
C. $A(n)=(n-1)( \cdot n)^{i}$This function does not match the general form of a geometric sequence because the term $( \cdot n)^{i}$ is multiplied by $(n-1)$, not $$.
. $A(n)=(1+i)^{n-1}$This function matches the general form of a geometric sequence. Here, $$ is the first term, $1+i$ is the common ratio, and $n$ is the term number.
Therefore, the function that represents a geometric sequence is $A(n)=(1+i)^{n-1}$.