Difference between revisions of "1997 PMWC Problems/Problem T2"
(New page: ==Problem== Evaluate <math>1(\dfrac{1}{1}+\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+\dfrac{1}{5}+\dfrac{1}{6}+\dfrac{1}{7}+\dfrac{1}{8}+\dfrac{1}{9}+\dfrac{1}{10})</math> <math>+3(\dfrac{1...) |
(No difference)
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Revision as of 08:33, 9 October 2007
Problem
Evaluate
Solution
We can group them:
The sum of the first n odd numbers is n^2, so we can replace a lot of that stuff:
That's just .
See Also
1997 PMWC (Problems) | ||
Preceded by Problem T1 |
Followed by Problem T3 | |
I: 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 T: 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 |