Home
Class 11
MATHS
If the first two terms of a H.P are 2/5 ...

If the first two terms of a H.P are 2/5 and 12 / 13 , respectively . Then find the largest term.

A

6

B

12

C

5

D

7

Text Solution

Verified by Experts

The correct Answer is:
A
Proceeding as in Illustration 1, we have
Largest term `=(12)/(37-7xx5)=6`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Solved Mcqs|80 Videos

  • SEQUENCES AND SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos

  • QUADRATIC EXPRESSIONS AND EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|50 Videos

  • SETS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

If the first two terms of as H.P. are 2/5 and 12/13 , respectively. Then find the largest term.

If the first two terms of a H.P. are 2//5and12//23 respectively. Then, largest term is

The first two terms of a G.P. are 125 and 25 respectively. Find the 5^(th) and the 6^(th) terms of the G.P.

If the 3rd and the 6th terms of an A.P. are 7 and 13 respectively, find the first' term and the common difference.

If the first and the nth terms of a G.P are a and b , respectively, and if P is the product of the first n terms then prove that P^2=(a b)^ndot

If the first and the third terms of a G.P. are 2 and 8 respectively, find its second term.

If the first two terms of a progression are log_2 256 and log_3 81 respectively, then which of the following stastement (s) is (are) true: (A) if the third term is 2log_6 1 the the terms are in A.P. (B) if the third term is log_2 8, the the terms are in A.P. (C) if the third term is log_4 16 the the terms are in G.P. (D) if the third term is 2/3 log_2 16 the the terms are in H.P.

If the first and the nth terms of a GP are a and b respectively and if P is the product of the first n terms, then P^(2) is equal to

If the first and the nth terms of a G.P., are a and b respectively, and if P is the product of the first n terms. prove that P^2=(a b)^n

If the first and the nth term of a G.P. are a and b, respectively, and if P is the product of n terms , prove that P^(2)=(ab)^(n) .

OBJECTIVE RD SHARMA ENGLISH-SEQUENCES AND SERIES-Chapter Test
  1. If the first two terms of a H.P are 2/5 and 12 / 13 , respectively . T...

    Text Solution

    |

  2. Let H(n)=1+(1)/(2)+(1)/(3)+ . . . . .+(1)/(n), then the sum to n terms...

    Text Solution

    |

  3. Sum of the first n terms of the series 1/2+3/4+7/8+(15)/(16)+............

    Text Solution

    |

  4. If A(1),A(2) are between two numbers, then (A(1)+A(2))/(H(1)+H(2)) is ...

    Text Solution

    |

  5. If the (m+1)t h ,(n+1)t h ,a n d(r+1)t h terms of an A.P., are in G.P....

    Text Solution

    |

  6. Given that n arithmetic means are inserted between two sets of numbers...

    Text Solution

    |

  7. If a,b, and c are in G.P then a+b,2b and b+ c are in

    Text Solution

    |

  8. If in a progression a1, a2, a3, e t cdot,(ar-a(r+1)) bears a constant...

    Text Solution

    |

  9. If in an AP, t1 = log10 a, t(n+1) = log10 b and t(2n+1) = log10 c then...

    Text Solution

    |

  10. Find the sum of the series: 1^2-2^2+3^2-4^2+.....-2008^2+2009^2.

    Text Solution

    |

  11. If 4a^(2)+9b^(2)+16c^(2)=2(3ab+6bc+4ca)," where "a,b,c are non-zero nu...

    Text Solution

    |

  12. If Sn denotes the sum of n terms of an A.P. whose common difference is...

    Text Solution

    |

  13. The sides of a right angled triangle are in A.P., then they are in the...

    Text Solution

    |

  14. Find the sum of all the 11 terms of an AP whose middle most term is 30...

    Text Solution

    |

  15. The maximum sum of the series 20+19 1/3+18 2/3+ is 310 b. 300 c. 0320 ...

    Text Solution

    |

  16. If three numbers are in G.P., then the numbers obtained by adding the ...

    Text Solution

    |

  17. If p ,q ,r are in A.P., show that the pth, qth and rth terms of any G....

    Text Solution

    |

  18. Let a,b,c be three positive prime number. The progrrssion in which sqr...

    Text Solution

    |

  19. If 1/(b-a)+1/(b-c)=1/a+1/c , then (A). a ,b ,a n dc are in H.P. (B). a...

    Text Solution

    |

  20. If three numbers are in H.P., then the numbers obtained by subtracting...

    Text Solution

    |

  21. The first three of four given numbers are in G.P. and their last three...

    Text Solution

    |