Use the Formulas $\sum_{k=1}^{n} k=\frac{n(n+1)}{2}$ And $\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}$ To Find the Sum in Terms
Of

question 50

Short Answer

Use the formulas $\sum_{k=1}^{n} k=\frac{n(n+1)}{2}$ and
$\sum_{k=1}^{n} k^{2}=\frac{n(n+1)(2 n+1)}{6}$ to find the sum in terms
of $\text { n. } \sum_{k=1}^{n}\left(3 k^{2}-5 k+7\right)$

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Definitions:

Minimization

The process of finding the least possible value of a function or variable, often within specified constraints.

Maximization

The process of increasing a particular outcome or variable to its highest potential or value, often within given constraints.

Corner-point Method

A mathematical technique used in linear programming to find the optimum solution by evaluating the objective function at each corner point of the feasible region.

Dual Values

In linear programming, dual values represent the amount by which the objective function of an optimization model would improve with a one-unit increase in the right-hand side value of a constraint.