The Sum of the Squares of the First N $\frac{(2 n-1)(2 n)(2 n+1)}{6}$

question 59

Multiple Choice

The sum of the squares of the first n positive odd integers is $\frac{(2 n-1) (2 n) (2 n+1) }{6}$
Use this expression to find the sum $1^{2}+3^{2}+5^{2}+\cdots+75^{2}$

• A) 5628
• B) 73,150
• C) 1425
• D) 7,700,625
• E) 5776

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Definitions:

Confidence Interval

A range of values, derived from sample data, that is believed to contain the true population parameter with a certain level of confidence.

Oxygen Uptake

Oxygen uptake is a measure of the oxygen used by the body during physical activity and is a key indicator of aerobic fitness.

Mean Difference

A statistical measure representing the average difference between two sets of values or groups within a dataset.

Normal Distribution

A probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.