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.
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:
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