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Calculate n Sn=²= 1² +2²+3²+...+² i=1

Calculate n Sn=²= 1² +2²+3²+...+² i=1

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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**Calculate:** \[ S_n = \sum_{i=1}^{n} i^2 = 1^2 + 2^2 + 3^2 + \cdots + n^2 \] This expression represents the sum of the squares of the first \( n \) natural numbers. The notation \( \sum_{i=1}^{n} i^2 \) signifies a summation where each term \( i^2 \) is squared, starting from 1 and ending at \( n \). The expanded form shows the progression: \( 1^2 + 2^2 + 3^2 + \cdots + n^2 \).
Transcribed Image Text:**Calculate:** \[ S_n = \sum_{i=1}^{n} i^2 = 1^2 + 2^2 + 3^2 + \cdots + n^2 \] This expression represents the sum of the squares of the first \( n \) natural numbers. The notation \( \sum_{i=1}^{n} i^2 \) signifies a summation where each term \( i^2 \) is squared, starting from 1 and ending at \( n \). The expanded form shows the progression: \( 1^2 + 2^2 + 3^2 + \cdots + n^2 \).
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Step 1: given and part 1

the question is to calculate the value the 

S subscript n equals sum from i equals 1 to n of i squared equals 1 squared plus 2 squared plus.. plus n squared

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