Difference between revisions of "1970 AHSME Problems/Problem 19"
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[[Category: Introductory Algebra Problems]] | [[Category: Introductory Algebra Problems]] | ||
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Revision as of 15:39, 2 October 2014
Problem
The sum of an infinite geometric series with common ratio 
such that 
is 
, and the sum of the squares of the terms of this series is 
. The first term of the series is
Solution
See also
| 1970 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 18 |
Followed by Problem 20 | |
| 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 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
