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

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Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.