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(A) Find a simplified explicit form (in terms of s and t) for the amount of interest earned between times and time t, which is I = A(t)- A(s), where s < t, if a. In n for some positive integer n. = b. In = 2" for some positive integer n. Hint: The geometric sum of k terms is Σar² = a¹ for a constant ratio r # 1. Total interest is the sum of the periodic interests, Is+1. Is+2.... It.

(A) Find a simplified explicit form (in terms of s and t) for the amount of interest earned between times and time t, which is I = A(t)- A(s), where s < t, if a. In n for some positive integer n. = b. In = 2" for some positive integer n. Hint: The geometric sum of k terms is Σar² = a¹ for a constant ratio r # 1. Total interest is the sum of the periodic interests, Is+1. Is+2.... It.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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How to amswer image 1 using image 2?
k-1 i=0 1 pk 1-r ari = a + ar² + ar³ + ... + ark-1 = a..
Transcribed Image Text:k-1 i=0 1 pk 1-r ari = a + ar² + ar³ + ... + ark-1 = a..
(3) (A) Find a simplified explicit form (in terms of s and t) for the amount of interest earned between times and time t, which is I = A(t) - A(s), where s < t, if a. In = n for some positive integer n. = b. In = 2" for some positive integer n. Hint: The geometric sum of k terms is Eo ar' = for a constant ratio r # 1. Total interest is the sum of the periodic interests, Is+1, Is+2,..., It. h+ +1₂ Is+1 Is+2 It A(s) A(x+1) A(x+2) SS+1 s +2 ... A(-1) 4(0) 1-1 t
Transcribed Image Text:(3) (A) Find a simplified explicit form (in terms of s and t) for the amount of interest earned between times and time t, which is I = A(t) - A(s), where s < t, if a. In = n for some positive integer n. = b. In = 2" for some positive integer n. Hint: The geometric sum of k terms is Eo ar' = for a constant ratio r # 1. Total interest is the sum of the periodic interests, Is+1, Is+2,..., It. h+ +1₂ Is+1 Is+2 It A(s) A(x+1) A(x+2) SS+1 s +2 ... A(-1) 4(0) 1-1 t
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