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Write the sum using sigma notation 12 + 22 + 32 + + 142 Σ k = 1

Write the sum using sigma notation 12 + 22 + 32 + + 142 Σ k = 1

Calculus: Early Transcendentals
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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**Write the sum using sigma notation.** \[1^2 + 2^2 + 3^2 + \ldots + 14^2\] In the diagram, the sigma (\(\Sigma\)) notation is presented to express a series of squaring numbers starting from 1 to 14. Explanation: - The expression \(k = 1\) at the bottom indicates the starting index of the series. - The upper box is left blank, indicating where the upper limit of the summation should be placed, which in this case is 14. - The formula for the series inside the sigma notation should be \(k^2\), indicating each term in the series is squared. Thus, the series can be written in sigma notation as: \[ \sum_{k=1}^{14} k^2 \]
Transcribed Image Text:**Write the sum using sigma notation.** \[1^2 + 2^2 + 3^2 + \ldots + 14^2\] In the diagram, the sigma (\(\Sigma\)) notation is presented to express a series of squaring numbers starting from 1 to 14. Explanation: - The expression \(k = 1\) at the bottom indicates the starting index of the series. - The upper box is left blank, indicating where the upper limit of the summation should be placed, which in this case is 14. - The formula for the series inside the sigma notation should be \(k^2\), indicating each term in the series is squared. Thus, the series can be written in sigma notation as: \[ \sum_{k=1}^{14} k^2 \]
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