Explanation Given: { a n } = − 5 , 10 , − 20 , 40 , ........... { b n } = 10 , − 5 , − 20 , − 35 , .......... { c n } = − 2 , 1 , − 1 2 , 1 4 , ........... Formula used: To find the sum of ten terms S 10 ' of a sequence, we replace n in the formula with 10 , b 1 with 10 and b 10 with − 15 . S n ' = n 2 [ b 1 + b n ] Calculation: Since, we have { a n } = − 5 , 10 , − 20 , 40 , ........... Now, a 2 a 1 = 10 − 5 = − 2 a 3 a 2 = − 20 10 = − 2 a 4 a 3 = 40 − 20 = − 2 Therefore, the sequence is geometric and the first term a 1 = − 5 and the common ratio r = − 2. To find the sum of eleven terms S 11 of a sequence, we replace n in the formula with 11 , a 1 with − 5 and r with − 2 . S n = a 1 ( 1 − r n ) ( 1 − r ) ∴ S 11 = ( − 5 ) ( 1 − ( − 2 ) 11 ) ( 1 − ( − 2 ) ) = ( − 5 3 ) ( 1 + 2048 ) = 3415 Also, we have { b n } = 10 , − 5 , − 20 , − 35 ,

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Author: Blitzer

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Chapter 11.3, Problem 68E

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To calculate: The difference between the sum of the first 11 terms of {an} and the sum of the first 11 terms of {bn}.

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Chapter 11.3, Problem 67E

Chapter 11.3, Problem 69E

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Chapter 11 Solutions

EBK INTERMEDIATE ALGEBRA FOR COLLEGE ST

Ch. 11.1 - Prob. 1CP Ch. 11.1 - Write the first four terms of the sequence whose...Ch. 11.1 - Prob. 3CP Ch. 11.1 - Prob. 4CP Ch. 11.1 - Prob. 1CVC Ch. 11.1 - Prob. 2CVC Ch. 11.1 - Write the first term of each...Ch. 11.1 - Prob. 4CVC Ch. 11.1 - Prob. 5CVC Ch. 11.1 - Write the first term of each sequence....

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The difference between the sum of the first 11 terms of { a n } and the sum of the first 11 terms of { b n } .

Solution Summary: The author calculates the difference between the sum of the first 11 terms of lefta_nright

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To calculate: The difference between the sum of the first 11 terms of {an} and the sum of the first 11 terms of {bn}.

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Chapter 11 Solutions