SOLUTION: Prove by mathematical induction,1^2+3^2+....(2n+1)^2=((n+1)(2n+1)(2n+3))/3 where 'n' is a positive integer?

Algebra.Com
Question 1042846: Prove by mathematical induction,1^2+3^2+....(2n+1)^2=((n+1)(2n+1)(2n+3))/3 where 'n' is a positive integer?

Answer by ikleyn(52779)   (Show Source): You can put this solution on YOUR website!
.
Prove by mathematical induction,1^2+3^2+....(2n+1)^2=((n+1)(2n+1)(2n+3))/3 where 'n' is a positive integer?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~

See the lesson
    - Mathematical induction for sequences other than arithmetic or geometric
in this site.


RELATED QUESTIONS

Prove by mathematical induction that: 2^2n - 1 is divisible by 3 for all positive... (answered by Edwin McCravy)
Prove by mathematical induction that 3^(2n)-8n-1, n is a positive integer, is a multiple... (answered by Edwin McCravy)
prove by mathematical induction: 1^5 + 2^5 + 3^5 + ... + n^5 = (1/12)n^2(n+1)^2(2n^2 +... (answered by math_helper)
Hello, this is a mathematical induction question i had a hard time to prove Show that, (answered by math_helper)
use mathematical induction to prove that 1^2 + 2^2 + 3^2 +...+ n^2 = n(n+1)(2n+1)/6... (answered by solver91311)
use the principals of mathematical induction to prove the following statement... (answered by greenestamps)
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 the statement is true for all positive integers. (answered by t0hierry,greenestamps)
Use the method of mathematical induction to establish the following 1.... (answered by ikleyn)