How would you state whether the given sums are equal or unequal #3? ### Mathematical Summation Notation**3.**- \(\sum_{i=1}^{10} i(i-1)\) and \(\sum_{k=1}^{10} (k^2 - k)\).**4.**- \(\sum_{i=1}^{8} i^3\) and \(\sum_{i=1}^{4} i^3 + \sum_{i=5}^{8} i^3\).### Explanation:**Notation Overview:**- The symbol \(\sum\) represents a summation, which is the addition of a sequence of numbers.- The index \(i\) or \(k\) is the variable of summation.- The numbers below and above the summation symbol indicate the starting and ending values for the index.**Detailed Explanation:****3.**- The first expression, \(\sum_{i=1}^{10} i(i-1)\), calculates the sum of the product of \(i\) and \((i-1)\) from \(i=1\) to \(i=10\).- The second expression, \(\sum_{k=1}^{10} (k^2 - k)\), calculates the sum of \((k^2 - k)\) from \(k=1\) to \(k=10\).**4.**- \(\sum_{i=1}^{8} i^3\) calculates the sum of the cubes of \(i\) from \(i=1\) to \(i=8\).- The expression \(\sum_{i=1}^{4} i^3 + \sum_{i=5}^{8} i^3\) is equivalent to \(\sum_{i=1}^{8} i^3\), as it divides the summation into two parts: from \(i=1\) to \(i=4\), and from \(i=5\) to \(i=8\).

Answered: Image /qna-images/answer/06dfef06-a168-4ff9-9c24-1c7c3d22351b.jpg

Answered: 3. Σ (i-1) and Σ -k). | k=1

3. Σ (i-1) and Σ -k). | k=1

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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