Explanation Given information: The sum is given by ∑ k = 0 5 ( 1 2 k ) 2 ( 1 2 ) . Calculation: First write the sum of all numbers of the form ( 1 2 k ) 2 ( 1 2 ) , k = 0 , 1 , 2 , 3 , 4 , 5 Then add all of these values, ∑ k = 0 5 ( 1 2 k ) 2 ( 1 2 ) = ( 1 2 k ) 2 ( 1 2 ) + ( 1 2 k ) 2 ( 1 2 ) + ( 1 2 k ) 2 ( 1 2 ) + ( 1 2 k ) 2 ( 1 2 ) + ( 1 2 k ) 2 ( 1 2 ) + ( 1 2 k ) 2 ( 1 2 )

5th Edition

ISBN: 9781429241861

Author: Laura Taalman, Peter Kohn

Publisher: W. H. Freeman

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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 4.1, Problem 31S

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To calculate: Expand the sum and determine the value of the sum.

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Chapter 4.1, Problem 30S

Chapter 4.1, Problem 32S

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Chapter 4 Solutions

Calculus

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Expand the sum and determine the value of the sum.

Solution Summary: The author explains how to calculate the sum of all numbers of the form ldisplaystyle

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