Home
Class 11
MATHS
Five number are in A.P. with common diff...

Five number are in A.P. with common difference `ne` 0. If the 1 st , 3 rd , and 4 th terms are in G.P. , then

A

the 5th term is always 0

B

the 1st term is always 0

C

the middle term is always 0

D

the middle term is always -2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    PATHFINDER|Exercise QUESTION BANK|41 Videos
  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos

Similar Questions

Explore conceptually related problems

Five number are A.P with common differnce ne0 If the 1st , 3rd and 4th terms are in G.P ., then-

In a sequence of (4n+1) terms, the first (2n+1) terms are n A.P. whose common difference is 2, and the last (2n+1) terms are in G.P. whose common ratio is 0.5 if the middle terms of the A.P. and LG.P. are equal ,then the middle terms of the sequence is (n .2 n+1)/(2^(2n)-1) b. (n .2 n+1)/(2^n-1) c. n .2^n d. none of these

If the common difference of an A.P. is – 3 and the 18th term is – 5, then find its first term.

The first term of an A.P. is the same as that of a G.P., the common difference of the one and the common ratio of the other are both 4. If the sum of the first three terms of each series are same, find the fourteenth term of each series.

If the coefficients of 2nd, 3rd and 4th terms of (1+x)^(2n) are in A.P., then n equals

Five numbers are in A.P. and their sum is 50, then its 3rd number will be -

Five numbers are in G.P. and their product is 3^(10) , then the 3rd number will be -

Three positive numbers from an increasing G.P. If the middle term in this G.P is double , the new numbers are in A.P then the common ratio of the G.P. is :

The sum of P terms of an AP is P^2 . Find the common difference.

The sum of n terms of an A.P is n^2 .Find the common difference.

PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
  1. If x, y , z are in A.P and tan^-1 x , tan^-1 y and tan^-1 z are also ...

    Text Solution

    |

  2. The sum of first 20 terms of the sequence 0.7 , 0.77 , 0.777,... is

    Text Solution

    |

  3. The value of 1000[1/(1 xx 2) + 1/(2 xx 3) + .........+1/(999 xx 1000)]...

    Text Solution

    |

  4. Let f : R rarr R be such that f is is injective and f(x) f(y) = f(x + ...

    Text Solution

    |

  5. Five number are in H.P. The middle term is 1 and the ratio of the seco...

    Text Solution

    |

  6. If a, b ,c are in A.P ., then the straight line ax + 2by + c=0 will al...

    Text Solution

    |

  7. Six possible number are in G.P . such that their product is 1000. If t...

    Text Solution

    |

  8. Five number are in A.P. with common difference ne 0. If the 1 st , 3 r...

    Text Solution

    |

  9. Let f(x) = x(1/(x - 1) + 1/x + 1/(x + 1)), x gt 1 , Then

    Text Solution

    |

  10. Let a1 , a2 ,... be in harmonic progression with a1 = 5 and a20 = 25. ...

    Text Solution

    |

  11. Statement 1 : The sum of the series 1 + (1 + 2 + 4)+(4 + 6 + 9) + (9...

    Text Solution

    |

  12. If 100 times the 100 th term of an AP with non zero common different e...

    Text Solution

    |

  13. Six number are in A.P. such that their sum in 3 . The first term is 4 ...

    Text Solution

    |

  14. If 64, 27 , 36 are the Pth , Qth and Rth terms of a G.P., then P + 2Q ...

    Text Solution

    |

  15. Let a, b , c, p , q , r be positive real numbers such that a , b , c a...

    Text Solution

    |

  16. Let Sk be the sum of an infinite G.P. series whose first term is k and...

    Text Solution

    |

  17. Let a1 , a2 , ...., a100 be an arithmetic progression with a1 = 3 and ...

    Text Solution

    |

  18. A man saved Rs. 200 in each of the first three months of his service. ...

    Text Solution

    |

  19. The sequence log a, log a^2/b , log a^3/b^2 , ..... is

    Text Solution

    |

  20. The harmonic mean of two numbers is 4. Their arithmetic mean A and the...

    Text Solution

    |