perplexus.info :: Numbers : Arithmetic Sequence Crossed Digital Root Puzzle

Arithmetic Sequence Crossed Digital Root Puzzle (Posted on 2023-02-16)

A, B, and C are three consecutive integer terms (in this order) of an arithmetic sequence with nonzero common difference d.
Define:
• x = A³+B³+C³
• d(x) as the digital root of x.

Determine d(x), given that x is NOT a multiple of 3.

See The Solution Submitted by K Sengupta

Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re: Unless ...

Comment 3 of 3 |

(In reply to Unless ... by Larry)

0 is a multiple of 3. It is 3*0.

Posted by Math Man on 2023-02-17 16:19:47

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info