Suppose you deposit m dollars at the beginning of every month in a savings account that earns a monthly interest rate of r. For an initial investment of m dollars, the amount of money in your account at the beginning of the second month is the sum of your second deposit and your initial deposit plus interest. Denote by An the amount of money in your account in the nth month.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 54E
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5. Use the formula for a
(1+r)" – 1
geometric
sum to show that A, =
dollars.
Transcribed Image Text:5. Use the formula for a (1+r)" – 1 geometric sum to show that A, = dollars.
Suppose you deposit m dollars at the beginning of every month in a savings account that earns a
monthly interest rate of r. For an initial investment of m dollars, the amount of money in your
account at the beginning of the second month is the sum of your second deposit and your initial
deposit plus interest. Denote by An the amount of money in your account in the nth month.
Transcribed Image Text:Suppose you deposit m dollars at the beginning of every month in a savings account that earns a monthly interest rate of r. For an initial investment of m dollars, the amount of money in your account at the beginning of the second month is the sum of your second deposit and your initial deposit plus interest. Denote by An the amount of money in your account in the nth month.
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