Home
Class 11
MATHS
Prove the following by using the princip...

Prove the following 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)`

Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|20 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQS|10 Videos

  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise PRACTICE WORK |40 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|40 Videos

Similar Questions

Explore conceptually related problems

Prove the following by using the principle of mathematical induction for all n in N 3^n gt 2^n

Prove the following by using the principle of mathematical induction for all n in N (2n+7) lt (n+3)^2

Prove the following by using the principle of mathematical induction for all n in N 1.2+2.2^2 + 3.2^3 + ……….+ n.2^n =(n-1) 2^(n+1) + 2

Prove the following by using the principle of mathematical induction for all n in N (2n+1) lt 2^n , n >= 3

Prove the following by using the principle of mathematical induction for all n in N (1+x)^n lt= (1+nx)

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

Prove the following by using the principle of mathematical induction for all n in N 4+8 + 12 + …….+4n = 2n (n+1)

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

Prove the following by using the principle of mathematical induction for all n in N 1.2+2.3+3.4+…….+n.(n+1) = [ (n(n+1)(n+2))/(3)]

Prove the following 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)