# Evenly Odd , Oddly Even

Algebra Level 3

Find the sum of the series up to $$n$$ terms

$$1^2 + (2 \times 2^2) + 3^2+ (2 \times 4^2)+\cdots +n^2$$.

Where $$n$$ is an odd number.

i.e Evaluate

$$\large \displaystyle {\sum_{m = 1}^ {n} \left ( (2m-1)^2+[2 \times(2m)^2] \right ) }$$

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