Difference between revisions of "2010 UNCO Math Contest II Answer Key"
(Created page with "1) <math>153</math> 2) <math>210</math> 3) <math>12</math> 4) <math>(n+1)^2(n^2+1)</math> 5) (a) <math>\tfrac{6}{455}</math> (b) <math>\frac{n!}{\binom{n^2}{n}}</math> ...") |
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1) <math>153</math> | 1) <math>153</math> | ||
| − | 2) <math> | + | 2) <math>2010</math> |
3) <math>12</math> | 3) <math>12</math> | ||
| Line 15: | Line 15: | ||
8) <math>\frac{3^{2048}-1}{2}</math> | 8) <math>\frac{3^{2048}-1}{2}</math> | ||
| − | 9) (a) <math>A=2^8,B=2^6,C=2^5</math> (b) <math>A=3^20,B=3^15,C=3^12,D=61</math> | + | 9) (a) <math>A=2^8,B=2^6,C=2^5</math> (b) <math>A=3^{20},B=3^{15},C=3^{12},D=61</math> |
10) <math>\frac{n+2}{2} </math> if <math>n</math> is even; <math>\frac{n+1}{2} </math> if <math>n</math> is odd. | 10) <math>\frac{n+2}{2} </math> if <math>n</math> is even; <math>\frac{n+1}{2} </math> if <math>n</math> is odd. | ||
| − | 11) (a) <math>6</math> (b) <math>20</math> (c) <math>50</math> (d) < | + | 11) (a) <math>6</math> (b) <math>20</math> (c) <math>50</math> (d) <math>1\cdot n^2 + 2\cdot (n-1)^2+3\cdot (n-2)^2 + \cdots + n\cdot 1^2</math> |
Latest revision as of 01:37, 13 January 2019
1) 
2) 
3) 
4) 
5) (a) 
(b) 
6) 
7) 
8) 
9) (a) 
(b) 
10) 
if 
is even; 
if is odd.
11) (a) 
(b) 
(c) 
(d) 
