Difference between revisions of "2016 AMC 12B Problems/Problem 14"
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==See Also== | ==See Also== | ||
{{AMC12 box|year=2016|ab=B|num-b=13|num-a=15}} | {{AMC12 box|year=2016|ab=B|num-b=13|num-a=15}} | ||
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Revision as of 11:12, 21 February 2016
Problem
The sum of an infinite geometric series is a positive number 
, and the second term in the series is 
. What is the smallest possible value of 
Solution
The second term in a geometric series is 
, where 
is the common ratio for the series.
See Also
| 2016 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 13 |
Followed by Problem 15 |
| 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 | |
| All AMC 12 Problems and Solutions | |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
