What is an explicit formula For a compound interest geometric sequence?

An explicit formula for a compound interest geometric sequence can be expressed as ( A = P(1 + r)^n ), where ( A ) is the amount of money accumulated after n years, ( P ) is the principal amount (the initial investment), ( r ) is the annual interest rate (in decimal form), and ( n ) is the number of compounding periods (years). This formula reflects how the investment grows exponentially due to the effect of compounding interest. Each term in the sequence represents the total amount at the end of each compounding period.