What is the value of the following summations? - Σ(2) k==7 5 j ΣΣ (+1) j=0 k=0
What is the value of the following summations? - Σ(2) k==7 5 j ΣΣ (+1) j=0 k=0
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Transcribed Image Text:What is the value of the following summations?
7
[(x²)
k=-7
5 j
ΣΣ (+1)
j=0 k=0
Expert Solution

Step 1
a) Given that
∑k=−77(k2) ⇒∑k=−77(k2)=(−7)2+(−6)2+(−5)2+(−4)2+(−3)2+(−2)2+(−1)2+(1)2+22+32+42+52+62+2=2((1)2+22+32+42+52+62+2)=2(1+4+9+16+25+36+49)=280
Hence sum of given series is 280
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