Home
Class 10
MATHS
The 24th term of an A.P. is twice its 10...

The 24th term of an A.P. is twice its 10th term. Show that its 72th term is 4 times its 15th term.

Text Solution

Verified by Experts

Let `a=` first term of A.P.,
`d=` common difference
`nth term`, `a_(24)=2a_(10)`
`⇒a+23d=2(a+9d)`
...
Promotional Banner

Topper's Solved these Questions

  • AREAS RELATED TO CIRCLES

    RD SHARMA|Exercise All Questions|251 Videos

  • CIRCLES

    RD SHARMA|Exercise All Questions|131 Videos

Similar Questions

Explore conceptually related problems

The 24th term of an AP is twice its 10th term. Show that its 72nd term is 4 times its 15th term.

If the third term of an A.P. is 12 and 10th term is 26, then its 20th term is :

3rd term of an A.P. Is 12 and 10th term is 26, then its 20th term is :

If the sixth term of an AP is zero then show that its 33rd term is three times its 15th term.

The 5th term of an A.P. is three times the first term. Prove that its 7th term will be two times the 3rd term.

If the 4th term of an A.P. is zero, prove that the 25th term of the A.P. is three times its 11th term.

In a certain A.P.the 24th term is twice the 10 th term.Prove that the 72nd term is twice the 34th term.

In certain A.P.the 24 th term is twice the 10 th term.Prove that the 72 nd term is twice the 34 th term.

The 16th term of an AP is 5 times its 3rd term. If its 10th term is 41, find the sum of its first 15 terms.

RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. Find the number of all three digit natural numbers which are divisible...

    Text Solution

    |

  2. If the seventh term of an AP is 1/9 and its ninth term is 1/7, find it...

    Text Solution

    |

  3. The 24th term of an A.P. is twice its 10th term. Show that its 72th...

    Text Solution

    |

  4. If 2x ,x+10 ,3x+2 are in A.P., find the value of xdot

    Text Solution

    |

  5. If the numbers a , b , c , d , e form an A.P. , then find the value of...

    Text Solution

    |

  6. The 9th term of an A.P. is equal to 6 times its second term. If its...

    Text Solution

    |

  7. The sum of 5th and 9th term of an A.P. is 72 and the sum of 7th and...

    Text Solution

    |

  8. The sum of 4th and 8th terms of an A.P. is 24 and the sum of 6th an...

    Text Solution

    |

  9. Write an AdotPdot having 4 as the first terms and -3 as the comon diff...

    Text Solution

    |

  10. Write the first three terms in each of the sequence defined by the ...

    Text Solution

    |

  11. What is 18th term of the sequence defined by an=(n(n-3))/(n+4)

    Text Solution

    |

  12. Show that the sequence defined by an=4n+5 is an AdotPdot Also, find...

    Text Solution

    |

  13. Show that the sequence defined by an=2n^2+1 is not an AdotPdot

    Text Solution

    |

  14. Show that a sequence is an AdotPdot if its n t h term is a linea...

    Text Solution

    |

  15. The n t h term of a sequence is 3n-2 . Is the sequence an AdotPd...

    Text Solution

    |

  16. Write an AdotPdot whose first term is 10 and common difference is 3...

    Text Solution

    |

  17. Write an AdotPdot whose first term and common difference are -1. 25...

    Text Solution

    |

  18. Number of students left in the school auditorium from the total str...

    Text Solution

    |

  19. The amount of money in the account every year, when Rs 10000 is deposi...

    Text Solution

    |

  20. Find the common difference and write the next three terms of the Ad...

    Text Solution

    |