So the identity is actually:\sum_{i = 0}^{n-1} i = \frac{n(n-1)}{2}

  • Context: Undergrad 
  • Thread starter Thread starter killerfish
  • Start date Start date
  • Tags Tags
    identities Summation
Click For Summary
SUMMARY

The identity \(\sum_{i = 0}^{n-1} i = \frac{n(n-1)}{2}\) is confirmed as correct in the discussion. Participants clarified that proper limits of summation must be applied to derive this formula accurately. The conversation emphasized the importance of understanding summation notation and its implications in mathematical proofs.

PREREQUISITES
  • Understanding of summation notation
  • Basic algebra skills
  • Familiarity with mathematical proofs
  • Knowledge of sequences and series
NEXT STEPS
  • Study the derivation of summation formulas
  • Explore mathematical induction techniques
  • Learn about arithmetic series and their properties
  • Investigate advanced topics in combinatorics
USEFUL FOR

Students in mathematics, educators teaching algebra and calculus, and anyone interested in enhancing their understanding of summation and series concepts.

killerfish
Messages
16
Reaction score
0
Hi guys,

sry if i asked a silly qns. Is the below equivalent is true?

untitled.gif
 
Mathematics news on Phys.org
No, that's not correct. Using your limits of summation you should have:

[tex]\sum_{i = 0}^{n-1} i = \frac{n(n-1)}{2}[/tex]
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
20
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 16 ·
Replies
16
Views
2K
Replies
1
Views
2K