Explanation Formula used: Sum of n terms of Geometric sequence: “The sum of first n terms of a geometric sequence is S n = a 1 ( 1 − r n ) 1 − r , r ≠ 1 , where a 1 is the first term of the sequence and r is the common ratio”. Proof: It is given that the first term is a 1 = R ( 1 + i ) − n , where n is number of payments and the common ratio is r = ( 1 + i ) . Use the above formula to show that the sum of the geometric series is A = R [ 1 − ( 1 + i ) − n i ] . Substitute a 1 = R ( 1 + i ) − n and r = ( 1 + i ) in above formula, A = R ( 1 + i ) − n ( 1 − ( 1 + i ) n ) 1 − <

College Algebra in Context with Integrated Review and Worksheets Plus MyLab Math with Pearson eText-- Access Card Package

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ISBN: 9780134380155

Author: Ronald J. Harshbarger, Lisa S. Yocco

Publisher: PEARSON

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Chapter 8.4, Problem 41E

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To show: The sum is A=R[1−(1+i)−ni] if the first term is a1=R(1+i)−n and the common ratio is r=(1+i).

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Chapter 8.4, Problem 40E

Chapter 8.5, Problem 1E

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Chapter 8 Solutions

College Algebra in Context with Integrated Review and Worksheets Plus MyLab Math with Pearson eText-- Access Card Package

Ch. 8.1 - In Exercises 16, graph each inequality. 1. y 5x ...Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E Ch. 8.1 - In Exercises 710, match each solution of a system...Ch. 8.1 - Prob. 10E

Ch. 8.1 - Prob. 11E Ch. 8.1 - In Exercises 1116, the graph of the boundary...Ch. 8.1 - Prob. 13E Ch. 8.1 - Prob. 14E Ch. 8.1 - Prob. 15E Ch. 8.1 - Prob. 16E Ch. 8.1 - Prob. 17E Ch. 8.1 - Prob. 18E Ch. 8.1 - For each system of inequalities in Exercises 1722,...Ch. 8.1 - Prob. 20E Ch. 8.1 - Prob. 21E Ch. 8.1 - Prob. 22E Ch. 8.1 - Prob. 23E Ch. 8.1 - In Exercises 2326, graph the solution of the...Ch. 8.1 - Prob. 25E Ch. 8.1 - In Exercises 2326, graph the solution of the...Ch. 8.1 - Prob. 27E Ch. 8.1 - Prob. 28E Ch. 8.1 - Prob. 29E Ch. 8.1 - Sales Trix Auto Sales sells used cars. 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The sum is A = R [ 1 − ( 1 + i ) − n i ] if the first term is a 1 = R ( 1 + i ) − n and the common ratio is r = ( 1 + i ) .

Solution Summary: The author explains that the sum of first n terms of a geometric sequence is a_1=R(1+i)-n. Substitute

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To show: The sum is A=R[1−(1+i)−ni] if the first term is a1=R(1+i)−n and the common ratio is r=(1+i).

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Chapter 8 Solutions