To Prove: The formula for the sum of the finite geometric series with first term a and common ratio r ≠ 1 : ∑ i = 1 n a r i − 1 = a + a r + a r 2 + ... + a r n − 1 = a r n − 1 r − 1 .

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Answer 1

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Chapter E, Problem 47E

To determine

To Prove: The formula for the sum of the finite geometric series with first term a and common ratio r≠1 : ∑i=1nari−1=a+ar+ar2+...+arn−1=arn−1r−1 .

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Answer 2

Question

Chapter E, Problem 47E

To determine

To Prove: The formula for the sum of the finite geometric series with first term a and common ratio r≠1 : ∑i=1nari−1=a+ar+ar2+...+arn−1=arn−1r−1 .

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Answer 3

Question

Chapter E, Problem 47E

To determine

To Prove: The formula for the sum of the finite geometric series with first term a and common ratio r≠1 : ∑i=1nari−1=a+ar+ar2+...+arn−1=arn−1r−1 .

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Answer 4

Question

Chapter E, Problem 47E

To determine

To Prove: The formula for the sum of the finite geometric series with first term a and common ratio r≠1 : ∑i=1nari−1=a+ar+ar2+...+arn−1=arn−1r−1 .

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Answer 5

Chapter E, Problem 47E

To determine

To Prove: The formula for the sum of the finite geometric series with first term a and common ratio r≠1 : ∑i=1nari−1=a+ar+ar2+...+arn−1=arn−1r−1 .

Answer 6

Chapter E, Problem 47E

To determine

To Prove: The formula for the sum of the finite geometric series with first term a and common ratio r≠1 : ∑i=1nari−1=a+ar+ar2+...+arn−1=arn−1r−1 .

Answer 7

Chapter E, Problem 47E

To determine

To Prove: The formula for the sum of the finite geometric series with first term a and common ratio r≠1 : ∑i=1nari−1=a+ar+ar2+...+arn−1=arn−1r−1 .

Answer 8

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Answer 9

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Answer 11

Ch. E - Prob. 1E Ch. E - Write the sum in expanded form. 2. i=161i+1 Ch. E - Prob. 3E Ch. E - Prob. 4E Ch. E - Prob. 5E Ch. E - Prob. 6E Ch. E - Write the sum in expanded form. 7. i=1ni10 Ch. E - Prob. 8E Ch. E - Prob. 9E Ch. E - Prob. 10E

To Prove: The formula for the sum of the finite geometric series with first term a and common ratio r ≠ 1 : ∑ i = 1 n a r i − 1 = a + a r + a r 2 + ... + a r n − 1 = a r n − 1 r − 1 .

Solution Summary: The author explains the formula for the sum of the finite geometric series with first term a and common ratio rne 1.

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To Prove: The formula for the sum of the finite geometric series with first term a and common ratio r≠1 : ∑i=1nari−1=a+ar+ar2+...+arn−1=arn−1r−1 .

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Chapter E Solutions