All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers > Sequences
Deux Difference Deduction (Posted on 2015-01-23) Difficulty: 3 of 5
Find all possible arithmetic sequences of integers, with a common difference of 2, whose sum is exactly 2016.

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: computer solution | Comment 5 of 8 |
(In reply to computer solution by Charlie)

a. Your count of possible solutions to a*b  solutions is correct, mine and Jer's  are not , counting twice the part with negative numbers.

b.  However since  "arithmetic progression is a sequence of numbers such that the difference of any two successive members of the sequence is a constant" the first two entries hardly qualify:

2016 - there are no successive members,

1007,1009 - no constant difference.

So  the total number of arithmetic  sequences is 34.

  Posted by Ady TZIDON on 2015-01-24 02:09:04
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information