Further Maths - Sums of Squares

2020-09-16
1 min read
What is the formula for the sum of the squares of the $n$ natural numbers??

$$ \sum^{n}_{r=1} r^2 = \frac{1}{6}n(n+1)(2n+1) $$

How could you rewrite $\sum^{n}_{r=1} r^2$??

$$ \frac{1}{6}n(n+1)(2n+1) $$

What’s another way of expressing $\frac{1}{6}n(n+1)(2n+1)$??

$$ \sum^{n}_{r=1} r^2 $$

How could you rewrite $\sum^{n}_{r=1} 3r^2$??

$$ \frac{1}{3}n(n+1)(2n+1) $$


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date: 2020-09-16 17:57
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title: Further Maths - Sums of Squares