Explanation Given Information: The summation, ∑ k = 1 7 ( − 1 ) k . Formula used: The sum of first seven terms of sequence, a n = ( − 1 ) k is represented by, ∑ k = 1 7 ( − 1 ) k , where the letter k is called as index of summation. Calculation: Consider the summation, ∑ k = 1 7 ( − 1 ) k It simply means that sum of k equals 1 to 7 of ( − 1 ) k

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ISBN: 9781266148941

Author: Miller

Publisher: MCG CUSTOM

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Chapter 14.2, Problem 51PE

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To calculate: The sum of the summation, ∑k=17(−1)k.

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Chapter 14.2, Problem 50PE

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Chapter 14 Solutions

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Ch. 14.1 - Prob. 1SP Ch. 14.1 - Prob. 2SP Ch. 14.1 - Evaluate the expressions. 3. 1! Ch. 14.1 - Prob. 4SP Ch. 14.1 - Prob. 5SP Ch. 14.1 - Prob. 6SP Ch. 14.1 - Write out the first three terms of ( x + y ) 5 .Ch. 14.1 - 8. Use the binomial theorem to expand . Ch. 14.1 - Use the binomial theorem to expand ( 2 a − 3 b 2 )...Ch. 14.1 - Find the fourth term of ( x + y ) 8 .

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The sum of the summation, ∑ k = 1 7 ( − 1 ) k .

Solution Summary: The author explains how the sum of k equals 1 to 7 of the first seven terms of sequence.

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