Home
Class 12
MATHS
1.2.3+2.3.4+....+n(n+1)(n+2)=(n(n+1)(n+2...

`1.2.3+2.3.4+....+n(n+1)(n+2)=(n(n+1)(n+2)(n+3))/4`

Promotional Banner

Topper's Solved these Questions

  • PRINCIPLES OF MATHEMATICAL INDUCTION

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|15 Videos

  • PRINCIPLES OF MATHEMATICAL INDUCTION

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|4 Videos

  • PERMUTATIONS AND COMBINATIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|63 Videos

  • PROBABILITY

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|20 Videos

Similar Questions

Explore conceptually related problems

By the principal of mathematic induction, prove that, for nge1 1.2 + 2.3 + 3.4 +. . . +n.(n+1)=(n(n+1)(n+2))/3

Prove that by using the principle of mathematical induction for all n in N : 1.3+ 2.3^(2)+ 3.3.^(3)+ ....+ n.3^(n)= ((2n-1)3^(n+1)+3)/(4)

Prove that by using the principle of mathematical induction for all n in N : 1.3+3.5+5.7+....+(2n-1)(2n+1)= (n(4n^(2)+6n-1))/(3)

Prove that 1^(2)+2^(2)+3^(2)+.....+n^(2)=(n(n+1)(2n+1))/6

Using the mathematical induction, show that for any natural number n, 1/(1.2.3) + 1/(2.3.4) + 1/(3.4.5)+ …+ 1/(n.(n+1).(n+2)) =(n(n+3))/(4(n+1)(n+2))

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

Using Mathemtical induction, show that for any natural number n, (1)/(1.2)+(1)/(2.3)+(1)/(3.4)+...+(1)/(n(n+1))=(n)/(n+1)