perplexus.info :: Sequences : Figuring Forty-Nine and Sequence

Figuring Forty-Nine and Sequence (Posted on 2016-10-25)

Find all possible triples (P, Q, R) of positive integers satisfying both of the following conditions

49, P²and Q² (in order) are in arithmetic sequence with common difference > 0 , and:

49, Q² and R² (in order) are in arithmetic sequence with common difference > 0

Prove that there are no others.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

p,q,r)=(13,17,23)
For an explanation, refer to the solution submitted by xdog in this location.
For due verification, 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
No Subject	xdog	2016-10-25 12:05:03
No proof, but ...	Charlie	2016-10-25 09:18:28

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 (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info