Given:
second term = 18
fifth term = 144
The nth term of a geometric sequence is:
Hence, we have:
Divide the expression for the fifth term by the expression for the second term:
Substituting the value of r into any of the expression:
Hence, the explicit rule for the sequence is:
Answer:
The correct answer is $8532.17
Step-by-step explanation:
The formula for calculating investments with compound interests is as follows:
Where:
R is the annual interest rate,
t is the number of times the investment is to be compounded in a year,
n is the number of years,
P is the principal amount invested.
Replacing in the formula with the given values you have: