Explanation Given: a) ∑ i = 1 4 i , ∑ l = 1 4 l b) ∑ j = 1 4 j 2 , ∑ k = 2 5 k 2 c) ∑ j = 1 4 j , ∑ i = 2 5 ( i − 1 ) d)

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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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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Question

Chapter 5.1, Problem 3PQ

To determine

The pairs of sums those are not equal from the given options

a) $\sum_{i = 1}^{4} i, \sum_{l = 1}^{4} l$

b) $\sum_{j = 1}^{4} j^{2}, \sum_{k = 2}^{5} k^{2}$

c) $\sum_{j = 1}^{4} j, \sum_{i = 2}^{5} (i - 1)$

d) $\sum_{i = 1}^{4} i (i + 1), \sum_{j = 2}^{5} (j - 1) j$

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Chapter 5.1, Problem 2PQ

Chapter 5.1, Problem 4PQ

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CALCULUS (CLOTH)

Ch. 5.1 - Prob. 1PQ Ch. 5.1 - Prob. 2PQ Ch. 5.1 - Prob. 3PQ Ch. 5.1 - Prob. 4PQ Ch. 5.1 - Prob. 5PQ Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E

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The pairs of sums those are not equal from the given options a) ∑ i = 1 4 i , ∑ l = 1 4 l b) ∑ j = 1 4 j 2 , ∑ k = 2 5 k 2 c) ∑ j = 1 4 j , ∑ i = 2 5 ( i − 1 ) d) ∑ i = 1 4 i ( i + 1 ) , ∑ j = 2 5 ( j − 1 ) j

Solution Summary: The author determines the pairs of sums that are not equal from the given options.

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The pairs of sums those are not equal from the given options

a) $\sum_{i = 1}^{4} i, \sum_{l = 1}^{4} l$

b) $\sum_{j = 1}^{4} j^{2}, \sum_{k = 2}^{5} k^{2}$

c) $\sum_{j = 1}^{4} j, \sum_{i = 2}^{5} (i - 1)$

d) $\sum_{i = 1}^{4} i (i + 1), \sum_{j = 2}^{5} (j - 1) j$

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Chapter 5 Solutions

The pairs of sums those are not equal from the given options a) ∑ i = 1 4 i , ∑ l = 1 4 l b) ∑ j = 1 4 j 2 , ∑ k = 2 5 k 2 c) ∑ j = 1 4 j , ∑ i = 2 5 ( i − 1 ) d) ∑ i = 1 4 i ( i + 1 ) , ∑ j = 2 5 ( j − 1 ) j

Solution Summary: The author determines the pairs of sums that are not equal from the given options.

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The pairs of sums those are not equal from the given options a) ∑i=14i, ∑l=14l b) ∑j=14j2, ∑k=25k2 c) ∑j=14j, ∑i=25(i−1) d) ∑i=14i(i+1), ∑j=25(j−1)j

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Chapter 5 Solutions

The pairs of sums those are not equal from the given options

a) $\sum_{i = 1}^{4} i, \sum_{l = 1}^{4} l$

b) $\sum_{j = 1}^{4} j^{2}, \sum_{k = 2}^{5} k^{2}$

c) $\sum_{j = 1}^{4} j, \sum_{i = 2}^{5} (i - 1)$

d) $\sum_{i = 1}^{4} i (i + 1), \sum_{j = 2}^{5} (j - 1) j$