2006 UNCO Math Contest II Problems/Problem 6: Difference between revisions
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==Solution== | ==Solution== | ||
{{ | (a) <math>\frac{(2^{n+1}-1)(3^{n+1}-1)}{2}</math> | ||
(b) <math>\frac{(2^{2n+1}-1)(3^{n+1}-1)}{2}</math> | |||
==See Also== | ==See Also== | ||
Latest revision as of 01:33, 13 January 2019
Problem
The sum of all of the positive integer divisors of 
is 
(a) Determine a nice closed formula (i.e. without dots or the summation symbol) for the sum of all positive divisors of 
.
(b) Repeat for 
.
(c) Generalize.
Solution
(a) 
(b) 
See Also
| 2006 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 5 |
Followed by Problem 7 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNCO Math Contest Problems and Solutions | ||
