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| Non-arithmetic Triplets (Posted on 2013-04-08) |
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Find nine different integers from 1 to 20 inclusive such that no combination of any three of the nine integers form an arithmetic sequence.
(For example, if two of the integers chosen were 7 and 13, then that would preclude 1, 10 and 19 from being included.)
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Submitted by K Sengupta
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Rating: 5.0000 (1 votes)
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Solution:
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The two possible sets of nine positive integers in consonance with the given conditions are :
{1, 2, 6, 7, 9, 14, 15, 18, 20}, and
{1,3 ,6, 7, 12, 14, 15, 19, 20}
For an explanation, refer to the computer program assisted solution submitted by Charlie in this location. |
Comments: (
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Subject |
Author |
Date |
 | re(2): Counting Up | Bryan | 2013-04-09 10:37:33 |
 | re(5): Counting Up,,,,Why not up and down? | Ady TZIDON | 2013-04-09 09:35:44 |
| re(4): Counting Up,,,,Why not up and down? | Charlie | 2013-04-09 01:52:20 |
| re(3): Counting Up,,,,Why not up and down? | Ady TZIDON | 2013-04-09 01:20:20 |
| re(3): Counting Up | Jer | 2013-04-09 00:46:52 |
| re(2): Counting Up | Charlie | 2013-04-08 19:56:32 |
 | computer solution--includes the symmetric opposite | Charlie | 2013-04-08 16:03:25 |
 | re: Counting Up | Jer | 2013-04-08 16:01:02 |
| Counting Up | Bryan | 2013-04-08 14:53:28 |
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