Anyone want to check my mathematical induction proof? its a long one

Click For Summary
SUMMARY

The forum discussion centers on evaluating the sum for n = 1, 2, 3, 4, and 5, followed by conjecturing a general formula and proving it through mathematical induction. User StatusX contributed significantly by assisting with the conjecture formulation. The discussion includes references to scanned images of the proof, indicating a collaborative effort to refine the mathematical expression. Participants emphasize the importance of clarity in the final steps of the proof.

PREREQUISITES
  • Understanding of mathematical induction
  • Basic knowledge of summation notation
  • Familiarity with conjectures in mathematics
  • Ability to interpret mathematical proofs
NEXT STEPS
  • Study the principles of mathematical induction in detail
  • Explore various types of summation formulas
  • Learn how to construct and prove mathematical conjectures
  • Review examples of proofs involving summation and induction
USEFUL FOR

Students of mathematics, educators teaching proof techniques, and anyone interested in enhancing their understanding of mathematical induction and summation concepts.

mr_coffee
Messages
1,613
Reaction score
1
Directions: Evalute the sum, for n = 1, 2, 3, 4, and 5. Make a conjecture about a formula for this sume for general n, and prove your conjecture by mathematical induction.

StatusX helped me get the first part, so I know that is right, about making the conjecture.http://suprfile.com/src/1/3j13ycr/lastscan.jpg
http://suprfile.com/src/1/3j14smr/lastscan2.jpg Thanks I hope everyone can read it, i tried putting somthing behind the paper while scanning and still no luck.
 
Last edited by a moderator:
Physics news on Phys.org
looks ok to me... just clean up your expression in the last step
 
thanks stunner!
 

Similar threads

Mathematica What are the common challenges faced in strong mathematical induction?
  • · Replies 1 ·
Replies
1
Views
4K
Mathematica Strong mathematical induction, how do u figure out the range of the variable?
  • · Replies 3 ·
Replies
3
Views
5K
Mathematica Proof by mathematical induction
  • · Replies 5 ·
Replies
5
Views
8K
Mathematica Math Help: Prove SUM(r=1 to n) 1/r(r + 1)(r + 2)
  • · Replies 15 ·
Replies
15
Views
8K
Proof by mathematical induction
  • · Replies 4 ·
Replies
4
Views
2K
Mathematica Proving Math Induction for S1-S3: 1+3+5+...+(2n-1)=n^2
  • · Replies 3 ·
Replies
3
Views
3K
Proof by mathematical induction
  • · Replies 3 ·
Replies
3
Views
2K
Mathematica Mathematical Induction (Fibonacci sequence)
  • · Replies 11 ·
Replies
11
Views
13K
Mathematica Help with Proof and Mathematical Induction problem
  • · Replies 14 ·
Replies
14
Views
5K
Mathematical Induction problem.
  • · Replies 2 ·
Replies
2
Views
2K