Home
Class 10
MATHS
In the A.P. 1,\ 7,\ 13 ,\ 19 ,\ dot,\...

In the A.P. `1,\ 7,\ 13 ,\ 19 ,\ dot,\ 415` prove that the sum of the middle terms is equal to the sum of first and last terms.

Promotional Banner

Topper's Solved these Questions

  • AREAS RELATED TO CIRCLES

    RD SHARMA ENGLISH|Exercise All Questions|251 Videos

  • CIRCLES

    RD SHARMA ENGLISH|Exercise All Questions|131 Videos

Similar Questions

Explore conceptually related problems

Consider the A.P. 2,5,8, 11 ,........ ,302. Show that twice of the middle term of the above A.P. is equal to the sum of its first and last term.

Is 68 a term of the A.P. 7,\ 10 ,\ 13 ,\ dot?

Find the middle term(s) of the A.P. 7,\ 13 ,\ 19 ,\ ddot,\ 241 .

If 12th term of an A.P. is -13 and the sum of the first four terms is 24, what is the sum of first 10 terms ?

If 12th term of an A.P. is -13 and the sum of the first four terms is 24, what is the sum of first 10 terms ?

If the first term of an A.P. is 2 and the sum of first five terms is equal to one fourth of the sum of the next five terms, find the sum of first 30 terms.

Show that in an A.P. the sum of the terms equidistant from the beginning and end is always same and equal to the sum of first and last terms.

Find the sum of first 20 terms of an A.P. whose first term is 3 and the last term is 57.

The sum of 5 and 15 terms of an A.P. are equal. Find the sum of 20 terms of this A.P.

RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. Which term of the sequence 4,\ 9,\ 14 ,\ 19 ,\ dot is 124?

    Text Solution

    |

  2. Find the middle term(s) of the A.P. 7,\ 13 ,\ 19 ,\ ddot,\ 241 .

    Text Solution

    |

  3. In the A.P. 1,\ 7,\ 13 ,\ 19 ,\ dot,\ 415 prove that the sum of ...

    Text Solution

    |

  4. Which term of the arithmetic progression 5,\ 15 ,\ 25 ,\ dot will b...

    Text Solution

    |

  5. Which term of the sequence 20 ,\ \ 19 1/4,\ \ 18 1/2,\ \ 17 3/4,\ d...

    Text Solution

    |

  6. The 10 t h term of an A.P. is 52 and 16 t h term is 82. Find the...

    Text Solution

    |

  7. Determine the general term of an A.P. whose 7t h term is -1 and 16 ...

    Text Solution

    |

  8. If five times the fifth term of an A.P. is equal to 8 times its eig...

    Text Solution

    |

  9. Which term of the A.P. 3,\ 15 ,\ 27 ,\ 39 ,\ will be 132 more t...

    Text Solution

    |

  10. Two A.P.s have the same common difference. The first term of one of ...

    Text Solution

    |

  11. A sum of Rs 1000 is invested at 8% simple interest per annum. Calcu...

    Text Solution

    |

  12. In a flower bed there are 23 rose plants in the first row, twenty o...

    Text Solution

    |

  13. Suba Rao started work in 1995 at an annual salary of Rs 5000 and re...

    Text Solution

    |

  14. Jasleen saved Rs 5 in the first week of the year and then increased...

    Text Solution

    |

  15. Find 10 t h term of the A.P. 1,\ 4,\ 7,\ 10 ,\ ddot

    Text Solution

    |

  16. Find: 18th term of the A.P. sqrt(2),\ 3sqrt(2),\ 5sqrt(2) ddot

    Text Solution

    |

  17. Find n t h term of the A.P. 13 ,\ 8,\ 3,\ -2,\ dot

    Text Solution

    |

  18. Find 10 t h term of the A.P. -40 ,\ -15 ,\ 10 ,\ 35 ,\

    Text Solution

    |

  19. Find 8t h term of the A.P. 117 ,\ 104 ,\ 91 ,\ 78 ,\

    Text Solution

    |

  20. Find 11 t h term of the A.P. 10. 0 ,\ 10. 5 ,\ 11. 0 ,\ 11. 5 ,\ dd...

    Text Solution

    |