SOLUTION: Mathematical induction How can we prove that : (1 + 1 / 3) (1 + 5 / 4)(1 + 7 / 9)........{(1 + (2n + 1 / n2)} = (n + 1)2 for all n Є N.

Algebra.Com
Question 1088450: Mathematical induction

How can we prove that :
(1 + 1 / 3) (1 + 5 / 4)(1 + 7 / 9)........{(1 + (2n + 1 / n2)} = (n + 1)2 for all n Є N.
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.
Read your post.

I'd say that your formula is unreadable and incorrect at the same time.

To make it readable, use parentheses everywhere where it is REQUIRED.

To make tit correct, think on your first multiplier in parentheses. 

    Also, I don't know what n2 means.
    I know what n^2 means, but don't know about n2.

    similarly, I don't know what (n+1)2 means.
    I know what (n+1)^2 means, but don't know about (n+1)2.

So, edit and re-post.


Thanks.


-----------
In whole, I think that it is LARGELY incorrect.


In any case, there is a bunch of lessons on the method of Mathematical induction in this site
    - Mathematical induction and arithmetic progressions
    - Mathematical induction and geometric progressions
    - Mathematical induction for sequences other than arithmetic or geometric
    - Proving inequalities by the method of Mathematical Induction

When you read them, you will know EVERYTHING about this method the school student must know about it. And even more . . .


Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic
"Method of Mathematical induction".



RELATED QUESTIONS

Pls help USE MATHEMATICAL INDUCTION TO PROVE THAT (n+1)^n < 2n^2 for all natural... (answered by ikleyn)
use mathematical induction to prove that 1^2 + 2^2 + 3^2 +...+ n^2 = n(n+1)(2n+1)/6... (answered by solver91311)
Use mathematical induction to prove the following: For each natural number... (answered by Edwin McCravy,amalm06)
Hello, could I please have some help with this question, Prove by mathematical... (answered by KMST)
Prove by mathematical induction that the statement below holds true for every integer... (answered by ikleyn)
Prove by mathematical induction {{{1/(1*2) + 1/(2*3) + 1/(3*4)}}}+ ...+{{{1/n(n+1) =... (answered by Edwin McCravy)
use the principals of mathematical induction to prove the following statement... (answered by greenestamps)
Induction Sum: Prove using mathematical induction that: 1/1*2*3 + 1/2*3*4 + 1/3*4*5... (answered by robertb)
Prove by mathematical induction that: 2^2n - 1 is divisible by 3 for all positive... (answered by Edwin McCravy)