Home
Class 11
MATHS
If 100 times the 100th term of an AP wit...

If 100 times the 100th term of an AP with non-zero common difference equals the 50 times its 50th term, then the 150th term of this AP is

A

`-150`

B

150 times its 50 th term

C

150

D

zero

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise CHECK YOUR UNDERSTANDING|10 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Chapter Test|11 Videos

  • SETS

    MODERN PUBLICATION|Exercise CHAPTER TEST 1|12 Videos

Similar Questions

Explore conceptually related problems

If 100 times the 100^(t h) term of an AP with non zero common difference equals the 50 times its 50^(t h) term, then the 150^(t h) term of this AP is (1) 150 (2) 150 times its 50^(t h) term (3) 150 (4) zero

If m times the mth term of an A.P. with non-zero common difference equals n times the nth term of the A.P., where m ne n , then (m+n)th term of this A.P. is

If 16th term is 16 more than the 12th term of an AP then find the common difference of the AP

If m times the m^(th) term of an A.P. is equal to n times its n^(th) term , then show that (m+n)^(th) term of the A.P. is zero .

If m time the m^(th) term of an Arithmetic Progression is equal to n times its n^(th) term and mnen ,show that the (m+n)^(th) term of the AP is zero .

if 9 times the 9 th term of an AP is equal to 13 times the 13 th term , then the 22 nd term of the AP is

MODERN PUBLICATION-SEQUENCES AND SERIES-COMPETITION FILE
  1. 1+2/3+6/(3^2)+10/(3^3)+14/(3^4)+

    Text Solution

    |

  2. A person is to cout 4500 currency notes. Let a(n) denotes the number o...

    Text Solution

    |

  3. A man saves Rs. 200 in each of the first three months of his service. ...

    Text Solution

    |

  4. Let a(n) be the nth term of an AP, if sum(r=1)^(100)a(2r)=alpha " and ...

    Text Solution

    |

  5. If 100 times the 100th term of an AP with non-zero common difference e...

    Text Solution

    |

  6. If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are al...

    Text Solution

    |

  7. The sum of first 20 terms of the sequence 0.7,0.77,0.777,"……" is

    Text Solution

    |

  8. Let alpha and beta be the roots of equation px^2 + qx + r = 0 , p != ...

    Text Solution

    |

  9. Three positive numbers form an increasing GP. If the middle term in th...

    Text Solution

    |

  10. If (10)^9+""2(11)^1(10)^8+""3(11)^2(10)^7+""ddot""+""10(11)^9=k(10)^9 ...

    Text Solution

    |

  11. If m is the AM of two distinct real numbers l and n (l,ngt1) and G(1)...

    Text Solution

    |

  12. The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)...

    Text Solution

    |

  13. If the 2nd , 5th and 9th terms of a non-constant A.P. are in G.P.,...

    Text Solution

    |

  14. If the surm of the first ten terms of the series,(1 3/5)^2+(2 2/5)^2+(...

    Text Solution

    |

  15. For any three positive real numbers a , b and c ,9(25 a^2+b^2)+25(c^2-...

    Text Solution

    |

  16. Let a,b,c in R. " If " f(x) =ax^(2)+bx+c be such that a+b+c=3 and f(x+...

    Text Solution

    |

  17. Let a1, a2, a3...a49 be in AP such that sum(k=0)^12(a4k+1)=416 and a9+...

    Text Solution

    |

  18. Let A be the sum of the first 20 terms and B be the sum of the first 4...

    Text Solution

    |

  19. The product of three consecutive terms of a G.P. is 512. If 4 is added...

    Text Solution

    |

  20. Let a(1) , a(2) ...... A(50) are non constant terms of an A.P. And sum...

    Text Solution

    |