perplexus.info :: Just Math : Six Term Settlement

Six Term Settlement (Posted on 2014-06-26)

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
computer solutions	Charlie	2014-06-26 15:25:55
8 answers (spoiler)	Steve Herman	2014-06-26 14:31:43
four answers	Ady TZIDON	2014-06-26 14:16:45

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (10)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info