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Six Term Settlement (Posted on 2014-06-26) Difficulty: 3 of 5
Find six strictly increasing terms - consisting entirely of positive integers - in arithmetic sequence that use precisely three different digits.

*** The highest term is less than 1000.

  Submitted by K Sengupta    
Rating: 4.0000 (2 votes)
Solution: (Hide)
There are precisely 8 different answers. These are provided hereunder as follows:
 1 6 11 16 21 26
 2 7 12 17 22 27
 11 61 111 161 211 261
 12 62 112 162 212 262
 16 66 116 166 216 266
 21 71 121 171 221 271
 22 72 122 172 222 272
 27 77 127 177 227 277
For an explanation, and other answers with no restriction on the highest term, please refer to the computer program assisted solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutioncomputer solutionsCharlie2014-06-26 15:25:55
Solution8 answers (spoiler)Steve Herman2014-06-26 14:31:43
Solution four answersAdy TZIDON2014-06-26 14:16:45
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