Difference between revisions of "1960 AHSME Problems/Problem 8"
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Revision as of 19:12, 10 May 2018
Contents
[hide]Problem
The number can be written as a fraction. When reduced to lowest terms the sum of the numerator and denominator of this fraction is:
Solution
Solution 1
Let , so
The sum of the numerator and the denominator is , so the answer is .
Solution 2
The number can also be written as This is really two infinite series -- one with first term and common difference and one with first term and common difference . Apply the infinite series formula on both series.
The sum of the numerator and the denominator is , so the answer is .
See Also
1960 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 7 |
Followed by Problem 9 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 | ||
All AHSME Problems and Solutions |