Home
Class 12
MATHS
If an=3/4-(3/4)^2+(3/4)^3+...(-1)^(n-1)(...

If `a_n=3/4-(3/4)^2+(3/4)^3+...(-1)^(n-1)(3/4)^n` and `b_n=1-a_n`, then find the minimum natural number n, such that `b_n>a_n`

Promotional Banner

Topper's Solved these Questions

  • PROGRESSION & SERIES

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I|50 Videos
  • PROGRESSION & SERIES

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-II|20 Videos
  • PROGRESSION & SERIES

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) LEVEL-I (Fill in the blanks )|5 Videos
  • PROBABILITY

    FIITJEE|Exercise Exercise 7|2 Videos
  • QUADRATIC EQUATION & EXPRESSION

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

If quad a_(n)=(3)/(4)-((3)/(4))^(2)+((3)/(4))^(3)+...(-1)^(n-1)((3)/(4)) and b_(n)=1-a_(n), then find the minimum natural number n,such that b_(n)>a_(n)

Let A_n=(3/4)-(3/4)^2+(3/4)^3+….+(-1)^(n-1)(3/4)^n and B_n = 1-A_n . find the least odd natural numbers n_0 , so that B_ngtA_n A for all ngen_0

Complete the following statements. and b_n=1-1_n then the smallest natural number n_0 , such that b_n > a_n !V n> n_0 is

1^(3)+2^(3)+3^(3)+.....+n^(3)=(n(n+1)^(2))/(4), n in N

1+5+9+...+(4n-3)=n(2n-1) for all natural numbers n

In an AP, given a_n=4, d=2, S_n=-14 find n and a

sum_(n=1)^(oo)((1)/(4n-3)-(1)/(4n-1))=(pi)/(n) find n

FIITJEE-PROGRESSION & SERIES -ASSIGNMENT PROBLEMS (SUBJECTIVE) LEVEL-II
  1. The series of natural numbers is divided into groups (1),(2,3,4) : ...

    Text Solution

    |

  2. Find the value of 2551 S where S = sum(k=1)^(50) k/(k^(4)+k^(2)+1)

    Text Solution

    |

  3. If an=3/4-(3/4)^2+(3/4)^3+...(-1)^(n-1)(3/4)^n and bn=1-an, then find ...

    Text Solution

    |

  4. If S=a+b+c then prove that (S)/(S-a)+(S)/(S-b)+(S)/(S-c) gt (9)/(2) wh...

    Text Solution

    |

  5. Sum to n terms of the series 1+(1+x)+(1+x+x^2)+(1+x+x^2+x^3)+...

    Text Solution

    |

  6. (1^4)/1.3+(2^4)/3.5+(3^4)/5.7+......+n^4/((2n-1)(2n+1))=(n(4n^2+6n+5))...

    Text Solution

    |

  7. The sum of the infinite series (1)/(3)+(3)/(3.7)+(5)/(3.7.11)+(7)/(3...

    Text Solution

    |

  8. Find the minimum value of (a+1/a)^(2) +(b+1/b)^(2) where a gt 0, b g...

    Text Solution

    |

  9. If m is negative or positive and greater than 1 , show that 1^(m)+...

    Text Solution

    |

  10. Let a,b,c be three distinct positive real numbers in G.P , then pr...

    Text Solution

    |

  11. The nth term of a series is given by t(n)=(n^(5)+n^(3))/(n^(4)+n^(2)+1...

    Text Solution

    |

  12. If sum(r=1)^n tr=n/8(n+1)(n+2)(n+3), then find sum(r=1)^n1/(tr)dot

    Text Solution

    |

  13. If the terms of A.P. sqrt(a-x),sqrt(x),sqrt(a+x) ……….. Are all integer...

    Text Solution

    |

  14. If the terms of the A.P. sqrt(a-x),sqrt(x),sqrt(a+x) are all in intege...

    Text Solution

    |

  15. Prove that (666 …. "to n digits")^(2) +(888 …. To n digits ) = (444 … ...

    Text Solution

    |

  16. Find the sum of the infinitely decreasing G.P. whose third term, three...

    Text Solution

    |

  17. If the equations ax^(2) +2bx +c = 0 and Ax^(2) +2Bx+C=0 have a commo...

    Text Solution

    |