Home
Class 12
MATHS
In a geometric progression with common r...

In a geometric progression with common ratio q, the sum of the first 109 terms exceeds the sum of the first 100 terms by 12. If sum of the first nine terms of the progression is `lambda/(q^(100))` then find the value of `lambdadot` (1) 10 (2) 6 (3) 18 (4) 12

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

A geometric progression has common ratio = 3 and last term = 486. If the sum of its terms is 728, find its first term.

If the sum of first p terms of an A.P. is equal to the sum of the first q terms, then find the sum of the first (p+q) terms.

If the sum of first p terms of an A.P. is equal to the sum of the first q terms, then find the sum of the first (p + q) terms.

If sum of first 6 terms of an AP is 36 and that of the first 16 terms is 256 , then find the sum of first 10 terms.

If sum of first 6 terms of an AP is 36 and that of the first 16 terms is 256 , then find the sum of first 10 terms.

The sum of first 7 terms of an A.P. is 49 and that of first 17 terms of it is 289. Find the sum of first n terms.

If the sum of the first 4 terms of an arithmetic progression is p, the sum of the first 8 terms is q and the sum of the first 12 terms is r, express 3p+r in terms of q.

The sum of first p- terms terms of an A.P. is q and the sum of first q terms is p, find the sum of first (p + q)

If the sum of the first 23 terms of an arithmetic progression equals that of the first 37 terms , then the sum of the first 60 terms equals .

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The graph of the function y=16x^2+8(a+5)x-7a-5 is strictly above the x...

    Text Solution

    |

  2. Find the values of a and b such that the function defined by f(x)={...

    Text Solution

    |

  3. In a geometric progression with common ratio q, the sum of the firs...

    Text Solution

    |

  4. In a set of real numbers a relation R is defined as xRy such tha...

    Text Solution

    |

  5. "If" I=int0^x(t^2dt)/((x-sinx)sqrt(a+t))a n d(lim)(xvec0)I=1, then ...

    Text Solution

    |

  6. The value of int5^(10)(sqrt(x+sqrt(20 x-100))+sqrt(x-sqrt(20 x-100)))d...

    Text Solution

    |

  7. The value of int(-2)^1([x]+|x-3|)dx is (where [.] denotes greatest int...

    Text Solution

    |

  8. If z1,z2,z3,z4 be the vertices of a quadrilaterla taken in order such ...

    Text Solution

    |

  9. If the value of the definite integral int ^(-1) ^(1) cos ^(-1) ((1)/(s...

    Text Solution

    |

  10. The real value of k so that the lines x+k y+2=0 3x+2y+1=0 2x+y+2=0" ...

    Text Solution

    |

  11. If 9(27)^(x^2+y+z)+9(27)^(x+y+z^2)+9(27)^(x+y^2+z)=11 then find the nu...

    Text Solution

    |

  12. 2sin^(2)theta + 3 costheta =0

    Text Solution

    |

  13. Evaluate: int(dx)/((x+1)sqrt(1+x-x^(2))

    Text Solution

    |

  14. Two complex numbers z1a n dz2 have relation R such that z1Rz2, arg(z1...

    Text Solution

    |

  15. Let f(x) be a non-constant twice differentiable function defined on (-...

    Text Solution

    |

  16. Consider quadratic equations x^(2)-ax+b=0……….(i) and x^(2)+px+q=0……….(...

    Text Solution

    |

  17. Number of points where the function f(x)=|x^2-3x+2|+"cos"|x| is not di...

    Text Solution

    |

  18. Let f(x) be an onto function defined from [0, 2] to [3, 5] . hich of...

    Text Solution

    |

  19. int0^(pi/2) sin^3x/(sin^3x+cos^3x)dx

    Text Solution

    |

  20. The value of sin^(-1)("cot"(sin^(-1)((2-sqrt(3))/4+cos^(-1)(sqrt(12))...

    Text Solution

    |