Determine the following summation in terms of n (assume n is a positive integer 2 or greater), expressing your answer in the form an + bn? + cn, where a, b and c are rational numbers. (Hint: Try rewriting the summation into an equivalent form that generates less algebra when solving.) n2+n-4 >. (i + 4) i=n2-3 To simplify the algebra, do an index shift. Notice that the terms getting added are actually n? + 1, n² + 2, .., n² + n: Σ n2+n-4 2 (i+ 4) = 3{(n² + i) i=n2-3 i=1 n2 |+ i) i31 i=1 n(n + 1) = n(n²) + 2 1 1 =n³ +;n² %3D

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
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Determine the following summation in terms of n (assume n is a positive integer 2 or greater),
expressing your answer in the form an + bn? + cn, where a, b and c are rational numbers. (Hint: Try
rewriting the summation into an equivalent form that generates less algebra when solving.)
n² +n-4
>. (i + 4)
i=n²-3
To simplify the algebra, do an index shift. Notice that the terms getting added are actually n? + 1, n² + 2,
..., n? + n:
n2+n-4
2 (i + 4) = > (n² + i)
I|
i=n2-3
i=1
n2 |+
i)
i=1
n(n + 1)
= n(n²) +
2
1
1
= n³ +n²
2
Transcribed Image Text:Determine the following summation in terms of n (assume n is a positive integer 2 or greater), expressing your answer in the form an + bn? + cn, where a, b and c are rational numbers. (Hint: Try rewriting the summation into an equivalent form that generates less algebra when solving.) n² +n-4 >. (i + 4) i=n²-3 To simplify the algebra, do an index shift. Notice that the terms getting added are actually n? + 1, n² + 2, ..., n? + n: n2+n-4 2 (i + 4) = > (n² + i) I| i=n2-3 i=1 n2 |+ i) i=1 n(n + 1) = n(n²) + 2 1 1 = n³ +n² 2
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