Home
Class 12
MATHS
Len n be an integer greater than 1 and l...

Len n be an integer greater than 1 and let `a_(n)=(1)/(log_(n)1001).` If `b=a_(3)+a_(4)+a_(5)+a_(6)and c=_(11)+a_(12)+a_(13)+a_(14)+a_(15).` Than value of `(b-c)` is equal to

A

1001

B

1002

C

`-2`

D

`-1`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

Suppose n be an integer greater than 1 , let a_n=(1)/(log_n 2002 ) Suppose b=a_2+a_3+a_4+a_5 and c=a_(10)+a_11+a_(12)+a_(13)+a_(14) . Then |b-c| equals __________.

If a_(1),a_(2),a_(3),a_(4),a_(5) are in HP, then a_(1)a_(2)+a_(2)a_(3)+a_(3)a_(4)+a_(4)a_(5) is equal to

If a_(1)=3 and a_(n)=2a_(n-1)+5 , find a_(4) .

If a_(1)=5 and a_(n)=1+sqrt(a_(n-1)), find a_(3) .

If a_(1),a_(2)a_(3),….,a_(15) are in A.P and a_(1)+a_(8)+a_(15)=15 , then a_(2)+a_(3)+a_(8)+a_(13)+a_(14) is equal to

Let numbers a_(1),a_(2)…a_(16) are in AP and a_(1)+a_(4)+a_(7)+a_(10)+a_(13)+a_(16)=114 then a_(1)+a_(5)+a_(12)+a_(16) is equal to

If (1+x+x)^(2n)=a_(0)+a_(1)x+a_(2)x^(2)+a_(2n)x^(2n) , then a_(1)+a_(3)+a_(5)+……..+a_(2n-1) is equal to

If a_(0) = 0.4 and a_(n+1) = 2|a_(n)|-1 , then a_(5) =

Let (1 + x^(2))^(2) (1 + x)^(n) = a_(0) + a_(1) x + a_(2) x^(2) + … if a_(1),a_(2) " and " a_(3) are in A.P , the value of n is

If the sequence (a_(n)) is in GP, such that a_(4)//a_(6)=1//4 and a_(2)+a_(5)=216, then a_(1) is equal to

RESONANCE ENGLISH-DPP-QUESTION
  1. ((4i^(3)-i)/(2i+1))^(2) can be expressed in a + ib as

    Text Solution

    |

  2. A number of the form a + ib is called a complex number, where a,b in R...

    Text Solution

    |

  3. Len n be an integer greater than 1 and let a(n)=(1)/(log(n)1001). If ...

    Text Solution

    |

  4. If B=(12)/(3+sqrt5+sqrt8)andA=sqrt1+sqrt2+sqrt5-sqrt10, then value of ...

    Text Solution

    |

  5. Let ordered pair (alpha, beta) satisfying the system of equations 2 lo...

    Text Solution

    |

  6. If P(x) is a polynomial with integer coefficients such that for 4 dist...

    Text Solution

    |

  7. If the remainder R(x)=ax+b is ontained by dividing the polynomial x^(1...

    Text Solution

    |

  8. log(1/4)((35-x^2)/x)geq-1/2

    Text Solution

    |

  9. (0. 5)^((log(1/3) ((x+5)/(x^2+3)))>1

    Text Solution

    |

  10. If (a+b)/x=(b+c)/y=(c+a)/z ,then (A) (a+b+c)/(x+y+z)=(ab+bc+ca)/(ay+bz...

    Text Solution

    |

  11. If (x1, y1)&(x2, y2) are the solutions of the equaltions, (log)(225)(x...

    Text Solution

    |

  12. The vlaue of (81^((1)/(log(5)9))+3^((3)/(log(sqrt(6))3)))/(409)((sqrt(...

    Text Solution

    |

  13. The number of roots of the equation log(3sqrtx)x + log(3x) sqrtx = 0 ...

    Text Solution

    |

  14. For positive real numbers a (a>1) let pa and qa, be the maximum and mi...

    Text Solution

    |

  15. Let a >2 be a constant. If there are just 18 positive integers satisfy...

    Text Solution

    |

  16. If p,q in N" satisfy the equation "x^(sqrtx) = (sqrtx)^(x), then

    Text Solution

    |

  17. Which is/are true ? (A) log(0.2)3lt log(2)3 (B) log(sqrt(5))10ltlog (...

    Text Solution

    |

  18. The solution of the equation 7^(logx)-5^(logx+1)=3*5^(logx-1)-13*7 ^(l...

    Text Solution

    |

  19. Solve ((1)/(2))^(logx^(2))+2gt3.2^(log(-x))

    Text Solution

    |

  20. The values of x satisfying 2log((1)/(4))(x+5)gt(9)/(4)log((1)/(3sqrt(3...

    Text Solution

    |