Question

We will provide you with a value N. You should calculate the sum of each value of N squared from 0 up to and including N. In mathematical notation, this is written as 24. So if we passed in 3, you would output 0² + 1² + 2² + 3² = 14.

a) 0² + 1² + 2² + 3² = 14
b) 1² + 2² + 3² + 4² = 30
c) 1² + 3² + 5² + 7² = 84
d) 2² + 4² + 6² + 8² = 120

Answer 1

To calculate the sum of each value of N squared from 0 up to and including N, you can use the formula 2n^2 and simplify it using algebraic techniques.

Step-by-step explanation:

To calculate the sum of each value of N squared from 0 up to and including N, you can use the formula 2n^2. This is derived by recognizing that the expression in the question is equal to n^2, and by manipulating and simplifying the equation using algebraic techniques.

For example, if N = 3, the calculation would be 2(3^2) = 2(9) = 18.

In the provided answer options, option d) 2² + 4² + 6² + 8² = 120 is the correct calculation. This can be verified by plugging in N = 4 into the formula 2n^2: 2(4^2) = 2(16) = 32.