Home
Class 12
MATHS
Let an is a positive term of a GP and su...

Let `a_n` is a positive term of a GP and `sum_(n=1)^100 a_(2n + 1)= 200, sum_(n=1)^100 a_(2n) = 200`, find `sum_(n=1)^200 a_(2n) =?

A

300

B

175

C

225

D

150

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE (Main) 2020 QUESTION PAPER (8TH JAN-AFTERNOON)

    MCGROW HILL PUBLICATION|Exercise Multiple Choice Questions|25 Videos

  • JEE (Main) 2020 QUESTIONS WITH SOLUTION B.ARCH (6TH JAN-AFTERNOON

    MCGROW HILL PUBLICATION|Exercise Multiple Choice Questions|25 Videos

Similar Questions

Explore conceptually related problems

If a_(n)=(n)/((n+1)!) then find sum_(n=1)^(50)a_(n)

Let a_(n) be the nth term of a G.P.of positive numbers.Let sum_(n=1)^(100)a_(2n)=alpha and sum_(n=1)^(100)a_(2n-1)=beta, such that alpha!=beta, then the common ratio is alpha/ beta b.beta/ alpha c.sqrt(alpha/ beta) d.sqrt(beta/ alpha)

Let a_(n) be the nth term of an AP, if sum_(r=1)^(100)a_(2r)=alpha " and "sum_(r=1)^(100)a_(2r-1)=beta , then the common difference of the AP is

If a_(n)=n(n!), then sum_(r=1)^(100)a_(r) is equal to

Let a_(n) be the n^(th) term of an A.P.If sum_(r=1)^(100)a_(2r)=alpha&sum_(r=1)^(100)a_(2r-1)=beta, then the common difference of the A.P.is alpha-beta(b)beta-alpha(alpha-beta)/(2)quad (d) None of these

For a sequence, if a_(1)=2 and (a_(n+1))/(a_(n))=(1)/(3). Then, sum_(r=1)^(20) a_(r) is

If i^(2)=-1 then the value of sum_(n=1)^(200)i^(n) is

For any n positive numbers a_(1),a_(2),…,a_(n) such that sum_(i=1)^(n) a_(i)=alpha , the least value of sum_(i=1)^(n) a_(i)^(-1) , is

MCGROW HILL PUBLICATION-JEE (MAIN) 2020 QUESTIONS ( 9TH JAN-AFTERNOON) -JEE (Main) 2020 Questions with Solutions Mathematics (9th Jan - Afternoon)
  1. Let both root of equation ax^2 - 2bx + 5 = 0 are α and root of equatio...

    Text Solution

    |

  2. Let a function f:[0,5] to R be continuous, f(1)=3 and F be defined as ...

    Text Solution

    |

  3. Let [t] denote the greatest integer le t and lim(xto0)x[4/x]=A. Then t...

    Text Solution

    |

  4. If f(x) = |[x+a,x+2,x+1],[x+b,x+3,x+2],[x+c,x+4,x+3]| and a - 2b + c =...

    Text Solution

    |

  5. Given : f(x){(x",",0lexlt1/2),(1/2",",x=1/2),(1-x",",1/2ltxle1):} and ...

    Text Solution

    |

  6. If 7x + 6y - 2z = 0, 3x + 4y + 2z = 0, x - 2y - 6z = 0 then which opti...

    Text Solution

    |

  7. If p rarr (p wedge ~ q) is false. Truth value of p & q will be

    Text Solution

    |

  8. The length of the minor axis (along the y-axis) of an ellipse in the s...

    Text Solution

    |

  9. z is a complex number such that |Re(z)| + |Im (z)| = 4 then |z| can't ...

    Text Solution

    |

  10. If x underset(n=0)overset(oo)Sigma (-1)^n " tan "^(2n) " and " y = un...

    Text Solution

    |

  11. If (dx)/dy = (xy)/(x^2 + y^2), y(1) = 1 and y(x) = e then x =

    Text Solution

    |

  12. Let one end of focal chord of parabola y^2 = 8x is (1/2, -2), then equ...

    Text Solution

    |

  13. Let an is a positive term of a GP and sum(n=1)^100 a(2n + 1)= 200, sum...

    Text Solution

    |

  14. Let probability distribution is [[xi,:,1, 2, 3, 4, 5], [pi,:,k^2, 2k, ...

    Text Solution

    |

  15. int((d(theta))/((cos^2 theta)(sec(2theta) + tan(2theta)))) = lambda t...

    Text Solution

    |

  16. Let veca,vecb and vecc be three vectors such that |veca |=sqrt(3),|v...

    Text Solution

    |

  17. If C(r)=""^(25)C(r) and C(0)+5*C(1)+9*C(2)+ . . .+(101)*C(25)=225*k, t...

    Text Solution

    |

  18. If the curves x^2-6x+y^2+8=0 and x^2-8y+y^2+16 -k =0 , (k gt 0) touch...

    Text Solution

    |

  19. Find the number of terms common to the two AP's 3,7,11,15.... 407 and...

    Text Solution

    |

  20. If the distance between the plane 23,-10y-2z+48 =0 and the plane cont...

    Text Solution

    |