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

Home > Numbers > Sequences
Mille and Remainder Resolution (Posted on 2016-02-01) Difficulty: 3 of 5
The sequence {S(n)} is defined as follows:
S(1) = S(2) = S(3) = 1, and:
S(k+3) = S(k+2) + S(k+1) + S(k), for k=1,2,.....n

It is known that:
S(28) = 6090307, S(29)= 11201821, and:
S(30) = 20603361.

Determine the remainder when Σk=1 to 28 S(k) is divided by 1000.

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some Thoughtsre: spoiler solution; can it clue toward the intended method?Brian Smith2016-02-02 10:45:39
Some Thoughtsre: spoiler solution; can it clue toward the intended method?broll2016-02-02 08:54:27
Solutionspoiler solution; can it clue toward the intended method?Charlie2016-02-02 07:56:22
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 (9)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information