Home
Class 10
MATHS
Show that a sequence is an AdotPdot i...

Show that a sequence is an `AdotPdot` if its `n t h` term is a linear expression in `n` and in such a case the common difference is equal to the coefficient of `n` .

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

Show that a sequence is an A.P.if its nth term is a linear expression in n and in such a case the common difference is equal to the coefficient of n.

Show that the sequence is an A.P.if its nth term is linear expression in n and in such a case the common difference is equal to the coefficient of n.

Sum of first n terms of an A.P.is of the form An^(2)+Bn i.e.aquadratic expression in n, in such case the common differenceis twice the coefficient of n^(2). i.e.2A

Find the common difference if n^(th) term of AP is 7-4n.

If gerneral term of an A.P. is 2n + 5 , then its common difference is

(V)A Sequence is an AP ; if its nth term is linear expressions in n i.e.a_(n)=An+B where A and B are constants.In such a case the cofficients of n is a_(n) is the common difference of AP.

If the first term of an A.P. is a and n t h term is b , then its common difference is

If the sum of 'n' terms of an arithmetic progression is S_(n)=3n +2n^(2) then its common difference is :

If n^(th) term of A.P is 2n+3, then common difference is

The sum of first n terms of an A.P. is 5n ^(2)+ 4n, its common difference is :

RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. Show that the sequence defined by an=4n+5 is an AdotPdot Also, find...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. For the following arithmetic progressions write the first term a an...

    Text Solution

    |

  11. For the following arithmetic progressions write the first term a an...

    Text Solution

    |

  12. Write the arithmetic progression when first term a and common di...

    Text Solution

    |

  13. The cost of digging a well for the first metre is Rs 150 and rises ...

    Text Solution

    |

  14. The amount of air present in the cylinder when a vacuum pump removes...

    Text Solution

    |

  15. The general term of a sequence is given by an=-4n+15 . Is the se...

    Text Solution

    |

  16. Find the common difference and write the next four terms of each of...

    Text Solution

    |

  17. Find the common difference and write the next four terms of each of...

    Text Solution

    |

  18. Prove that no matter what the real numbers a and b are, the sequ...

    Text Solution

    |

  19. Find out which of the following sequences are arithmetic progressio...

    Text Solution

    |

  20. Find out which of the following sequences are arithmetic progressio...

    Text Solution

    |