Home
Class 10
MATHS
If p th term of an A.P. is 1/q and q th ...

If `p` th term of an A.P. is `1/q` and `q` th term is `1/p` prove that the sum of the first `pq` terms is `1/2[pq+1]`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CHALLENGING QUESTIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise EXAMPLE FOR PRACTICE|22 Videos
  • BOARD'S QUESTION PAPER : MARCH 2019

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise QUESTION|30 Videos
  • CHALLENGING QUESTIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise SECTION 3 (MODEL QUESTION PAPER FOR PRACTICE ) Solve any one of the following subquestions :|1 Videos

Similar Questions

Explore conceptually related problems

If the 10^(th) term of an A.P. is 1/5 and its 20^(th) term is 1/3 , then the sum of its first 150 terms is:

In an A.P., if p^(t h) term is 1/q and q^(t h) term is 1/p , prove that the sum of first pq terms is 1/2(p q+1), where p!=q .

In an A.P., if pth terms is (1)/(q) and qth term is (1)/(p) prove that the sum of first pq tems is (1)/(2)(pq+1) , where pneq.

If the p^(th) term of an A.P is q and q^(th) term is p, prove that its n^(th) term is (p+q-n)

If the p^(th) term of an A.P.is q and the q^(th) term is p, prove that its n^(th)term is(p+q-n)

If p^(th) term of an A.P.is q and the q^(th) term is p .Find the first term of the A.P.

If the sum of p terms of an A.P. is q and the sum of q terms is p , then the sum of the p+q terms will be

If the p th term of AP is (1)/(q) and its q th term is (1)/(p) show that sum of pq terms is (1)/(2)(pq+1)

The p^(th) term of an A.P.is a and q^(th) term is b . Prove that the sum of its (p+q) terms is (p+q)/(2){a+b+(a-b)/(p-q)}

NAVNEET PUBLICATION - MAHARASHTRA BOARD-CHALLENGING QUESTIONS -EXAMPLE FOR PRACTICE
  1. Anil is older than his friend Baiju by 3 years. Anil's father is thric...

    Text Solution

    |

  2. If the sum of the roots of the quadratic equation ax^(2)+bx+c=0 is equ...

    Text Solution

    |

  3. An exterior angle of a regular polygon having n sides is more than tha...

    Text Solution

    |

  4. Find the common difference of an A.P. whose first term is 5 and the su...

    Text Solution

    |

  5. In April 2018, the number of visitors to Antartica to see penguins inc...

    Text Solution

    |

  6. Rs. 5000 is deposited at 6% simple interest. Check, if the interest am...

    Text Solution

    |

  7. If p th term of an A.P. is 1/q and q th term is 1/p prove that the sum...

    Text Solution

    |

  8. Sandeep Electronics purchased ceiling fans for Rs. 50,176 (with GST) a...

    Text Solution

    |

  9. Manoj purchased 70 shares at MV Rs. 125. he sold half of the shares at...

    Text Solution

    |

  10. Two-digit numbers are formed from the digits 0,1,2,3,4 where repetitio...

    Text Solution

    |

  11. There are 3 boys and 2 girls. A Plant More Trees committee of two is t...

    Text Solution

    |

  12. A coin is tossed and a die is rolled simultaneously. (i) P is the ev...

    Text Solution

    |

  13. The 6th term of an A.P. is zero. Prove that its 21st term is triple it...

    Text Solution

    |

  14. The following table shows the number of patients of differents age gro...

    Text Solution

    |

  15. Among the group of students 10% scored marks below 20, 20% scored mark...

    Text Solution

    |

  16. The pie diagram shows the classification of skilled workers. If the ...

    Text Solution

    |

  17. The median of the following dats is 52.5. If the total frequency is 10...

    Text Solution

    |

  18. The frequency distribution of daily wages of 130 workers is given belo...

    Text Solution

    |

  19. The following table shows the ages of persons who visited a museum on ...

    Text Solution

    |

  20. The following table shows the distribution of weights of seeds. Draw a...

    Text Solution

    |