Prove by the principle of mathematical i...

Prove by the principle of mathematical induction that for all `n in N :` `1^2+2^2+3^2++n^2=1/6n(n+1)(2n+1)`

MATHEMATICAL INDUCTION
MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos
LINEAR INEQUATIONS
MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
MATHEMATICAL REASONING
MODERN PUBLICATION|Exercise CHAPTER TEST 14|12 Videos

Similar Questions

Explore conceptually related problems

Prove by the principle of mathematical induction that n<2^(n) for alln in N

Prove by the principle of mathematical induction that for all n in N:1^(2)+2^(2)+3^(2)+...+n^(2)=(1)/(6)n(n+1)(2n+1)

Prove by the principle of mathematical induction that for all n in N:1+4+7+...+(3n-2)=(1)/(2)n(3n-1)

Using the principle of mathematical induction, prove that n<2^(n) for all n in N

Prove by the principle of mathematical induction that for all n in N,n^(2)+n is even natural number.

Prove by the principle of mathematical induction that for all !=psi lon N;n1+3+3^(2)+......+3^(n-1)=(3^(n)-1)/(2)

Prove by the principle of mathematical induction that for all n in N,3^(2n) when divided by 8, the remainder is always 1.

Prove by the principle of mathematical induction that for all nN:(1)/(1.3)+(1)/(35)+(1)/(57)++(1)/((2n-1)(2n+1))=(n)/(2n+1)

Show by using the principle of mathematical induction that for all natural number n gt 2, 2^(n) gt 2n+1

Prove the following by using the principle of mathematical induction for all n in Nvdots1^(2)+3^(2)+5^(2)+...+(2n-1)^(2)=(n(2n-1)(2n+1))/(3)