Difference between revisions of "2007 UNCO Math Contest II Problems/Problem 7"
(Created page with "== Problem == (a) Express the infinite sum <math>S= 1+ \frac{1}{3}+\frac{1}{3^2}+ \frac{1}{3^3}+ \cdots</math> as a reduced fraction. (b) Express the infinite sum <math>T=\frac...") |
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<math>F_n</math> where <math>F_n=F_{n-1}+F_{n-2}</math>. | <math>F_n</math> where <math>F_n=F_{n-1}+F_{n-2}</math>. | ||
| − | == Solution == | + | == Solution == |
| − | + | {{solution}} | |
== See Also == | == See Also == | ||
Revision as of 19:54, 5 December 2016
Problem
(a) Express the infinite sum 
as a reduced fraction.
(b) Express the infinite sum 
as a reduced fraction. Here the denominators are powers of 
and the numerators 
are the Fibonacci numbers
where 
.
Solution
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See Also
| 2007 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 6 |
Followed by Problem 8 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
| All UNCO Math Contest Problems and Solutions | ||
