**Topic: Using Sigma Notation**Sigma notation is a concise and convenient way to represent long sums. Below, we explore how to express given sums using sigma notation.### Example Problems**Express the following sums using sigma notation:****a.** \( 1 + 2 + 3 + 4 + 5 \) **b.** \( 7 + 14 + 21 + 28 + 35 + 42 \) **c.** \( 1^8 + 2^8 + 3^8 + 4^8 \) **d.** \( \frac{1}{9} + \frac{1}{10} + \frac{1}{11} + \frac{1}{12} \) ### Solutions1. **Sum:** \( 1 + 2 + 3 + 4 + 5 \) **Sigma Notation:** \( \sum_{k=1}^{5} k \)2. **Sum:** \( 7 + 14 + 21 + 28 + 35 + 42 \) **Sigma Notation:** \( \sum_{k=1}^{6} (7k) \)3. **Sum:** \( 1^8 + 2^8 + 3^8 + 4^8 \) **Sigma Notation:** \( \sum_{k=1}^{4} k^8 \)4. **Sum:** \( \frac{1}{9} + \frac{1}{10} + \frac{1}{11} + \frac{1}{12} \) **Sigma Notation:** \( \sum_{k=1}^{4} \frac{1}{8+k} \)Feel free to practice these and try out more sums to further grasp the concept of sigma notation.

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Answered: ns using sigma notation.

Math

Calculus

ns using sigma notation.

Calculus: Early Transcendentals

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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