Difference between revisions of "2023 AIME II Problems/Problem 1"
MRENTHUSIASM (talk | contribs) (Created page with "==Problem== The numbers of apples growing on each of six apple trees form an arithmetic sequence where the greatest number of apples growing on any of the six trees is double...") |
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==Solution== | ==Solution== | ||
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+ | In the arithmetic sequence, let <math>a</math> be the first term and <math>d</math> be the common difference. | ||
==See also== | ==See also== |
Revision as of 14:55, 16 February 2023
Problem
The numbers of apples growing on each of six apple trees form an arithmetic sequence where the greatest number of apples growing on any of the six trees is double the least number of apples growing on any of the six trees. The total number of apples growing on all six trees is Find the greatest number of apples growing on any of the six trees.
Solution
In the arithmetic sequence, let be the first term and be the common difference.
See also
2023 AIME II (Problems • Answer Key • Resources) | ||
Preceded by First Problem |
Followed by Problem 2 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.