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

Home > Numbers > Sequences
Term Sum Settlement (Posted on 2015-10-29) Difficulty: 3 of 5
The sequence S1, S2,S3 ,...... is defined by:

S1 = 211, S2 = 375, S3= 420, S4 = 523, and:
Sn= Sn-1- Sn-2+ Sn-3- Sn-4

Find S531+ S753+ S975

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Algebraic solution | Comment 2 of 3 |
S1=A
S2=B
S3=C
S4=D
S5=D-C+B-A
S6=(D-C+B-A)-D+C-B=-A=-S1
S7=-A-(D-C+B-A)+D-C=-B=-S2
S8=-B-(-A)+(D-C+B-A)-D=-C=-S3
S9=-C-(-B)+(-A)-(D-C+B-A)=-D=-S4
S10=-D-(-C)+(-B)-(-A)=-D+C-B+A=-S5

So S(n)=S(n+10) and S(n)=-S(n+5)

S531+ S753+ S975=S1+ S3+ S5 = D+B = 523+375 = 898
  Posted by Jer on 2015-10-29 16:31:34
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 (8)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information