Further Maths - Sums of Squares
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 $\sum^{n} _ {r=1} 3r^2$?
\[\frac{1}{3}n(n+1)(2n+1)\]