Home
Class 11
MATHS
Using mathematical induction prove that ...

Using mathematical induction prove that `x+4x+7x+......+(3n-2)x=(1)/(2)n(3n-1)x`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos

  • MATHEMATICAL INDUCTION

    MODERN PUBLICATION|Exercise CHAPTER TEST 4|12 Videos

  • MATHEMATICAL INDUCTION

    MODERN PUBLICATION|Exercise Exercise|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 for all n in N:1+4+7+...+(3n-2)=(1)/(2)n(3n-1)

Using mathematical induction, prove that for x^(2n-1)+y^(2n-1) is divisible by x+y for all n in N

Using the principle of mathematical induction,prove that :.2.3+2.3.4+...+n(n+1)(n+2)=(n(n+1)(n+2)(n+3))/(4) for all n in N

Using mathematical induction prove that : (d)/(dx)(x^(n))=nx^(n-1)f or backslash all n in N

Using mathematical induction prove that (d)/(dx)(x^(n))=nx^(n-1) for all positive integers n.

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

Using the principle of mathematical induction prove that (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) for all n in N

Using the principle of mathematical induction , prove that for n in N , (1)/(n+1) + (1)/(n+2) + (1)/(n+3) + "……." + (1)/(3n+1) gt 1 .

Using mathematical induction,prove the following: 1+2+3+...+n<(2n+1)^(2)AA n in N

Using the principle of mathematical induction, prove that 1/(1*2)+1/(2*3)+1/(3*4)+…+1/(n(n+1)) = n/((n+1)) .