Here are the essential concepts you must grasp in order to answer the question correctly.
Summation Notation
Summation notation, represented by the Greek letter Sigma (Σ), is a concise way to express the sum of a sequence of terms. The notation Σ from i=a to b indicates that you sum the expression for each integer value of i starting from a up to b. In this case, 4Σi=1 means you will sum the expression 2i² for i values from 1 to 4.
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Quadratic Functions
Quadratic functions are polynomial functions of degree two, typically expressed in the form f(x) = ax² + bx + c. In the context of the given problem, the term 2i² represents a quadratic function where the variable i is squared and multiplied by 2. Understanding how to evaluate quadratic expressions is essential for calculating the sum in the problem.
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Solving Quadratic Equations Using The Quadratic Formula
Evaluating Sums
Evaluating sums involves calculating the total of a series of numbers generated by a specific formula or function. In this exercise, you will compute the values of 2i² for i = 1, 2, 3, and 4, and then add these results together. Mastery of basic arithmetic operations and the order of operations is crucial for accurately performing these calculations.
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