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Two arithmetic sequences (Posted on 2024-01-16) Difficulty: 3 of 5
NC, NL, NO, NU, TD, TS, TA represents two arithmetic sequences. All the 7 numbers add up to INI.

Determine the letter to digit assignment.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): a different interpretation Comment 4 of 4 |
(In reply to re: a different interpretation by Steve Herman)

I had not considered decreasing sequences.

But I just reworked my code to check for differences between successive terms only requiring that they be equal (whether pos or neg).  Looking just at complete sequences of 7 terms.
The only solution was the increasing one everyone has found.

However, in my original interpretation 3 solutions had two groups, the "N" group and the "T" group:  in any of those, either one or both of the groups could be reversed, wlog, and decreasing short sequences of 3 or 4 terms can be obtained.

  Posted by Larry on 2024-01-16 16:23:44
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