2007 UNCO Math Contest II Answer Key

1) $670,338$

2) $\tfrac{24}{43}$

3) $1^2+2^2+3^2+\cdots + n^2= 1\cdot n+3\cdot (n-1) +5\cdot (n-2)+\cdots (2n-1)\cdot 1$

4) $+1$

5) $\frac{2}{15}$

6) (a) $2n+1$ (b) multiples of $4$

7) (a) $\tfrac{3}{2}$ (b) $\tfrac{5}{19}$

8) $9,706,576$

9) $\frac{3\pi}{8}$

10) (a) $4^6-2\cdot3^6+2^6$ (b) $4^n-3\cdot 3^n+3\cdot 2^n-1^n$ (c) Generalize

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