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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Revision as of 01:20, 20 October 2014
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
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 |