Home
Class 10
MATHS
Show that a(1), a(2), ….,a(n),… form an ...

Show that `a_(1), a_(2), ….,a_(n),…` form an A.P where an is defined as below : (i) `a_(n) = 3 + 4n` (ii) `a_(n) = 9 - 5n`.
Also find the sum of the first 15 terms in each case.

Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 1.4|5 Videos

  • ARITHMETIC PROGRESSIONS

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 1.2|13 Videos

  • CIRCLES

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 4.2|13 Videos

Similar Questions

Explore conceptually related problems

In an AP : given a_(n) = 4, d = 2, S_(n) = -14 , find n and a.

In an AP : given a = 5, d = 3, a_(n) = 50 , find n and S_(n) .

If a_(1) , a_(2), "……………" a_(n) are in H.P., then the expression a_(1) a_(2) + a_(2) a_(3)+"…….."+ a_(n-1) a_(n) is equal to :

Let a_(1), a_(2) , a_(3),"………………" be in harmonic progression with a_(1) = 5 and a_(20) = 25 . The least positive integer n for which a_(n) lt 0 is :

Let a_(n)=(1000^(n))/(n!) for n in N . Then a_(n) is greatest when:

If a_(1) , a_(2) , a_(3),"………."a_(n) are in H.P. , then a_(1), a_(2) + a_(2) a_(3) + "………" + a_(n-1)a_(n) will be equal to :

If 1, a_(1), a_(2). ..., a_(n-1) are n roots of unity, then the value of (1 - a_(1)) (1 - a_(2)) .... (1 - a_(n-1)) is :

Find the sum of first 20 terms of an AP whose nth term is a_(n) = 2-3n .

If a_(1),a_(2),a_(3),a_(4) and a_(5) are in AP with common difference ne 0, find the value of sum_(i=1)^(5)a_(i) " when " a_(3)=2 .

Write the first 4 terms of an A.P. Where a_(n) = 4n +3 .

CPC CAMBRIDGE PUBLICATION-ARITHMETIC PROGRESSIONS-EXERCISE 1.3
  1. Find the sum of the following Aps: (i) 2, 7, 12, …….., to 10 terms. ...

    Text Solution

    |

  2. Find the sums given below : (i) 7+10(1)/(2)+14+……..+84 (ii) 34+32...

    Text Solution

    |

  3. In an AP: (i) given a=5, d=3, a(n)=50, find n and S(n). (ii) give...

    Text Solution

    |

  4. How many terms of the A.P : 9, 17 25,… must be taken to give sum of 63...

    Text Solution

    |

  5. The first of an A.P is 5, the last term is 45 and the sum is 400. Find...

    Text Solution

    |

  6. The first and the last terms of an A.P are 17 and 350 respectively. If...

    Text Solution

    |

  7. Find the sum of first 22 terms of an A.P in which d = 7 and 22nd term ...

    Text Solution

    |

  8. Find the sum of first terms of an A.P whose second and third terms are...

    Text Solution

    |

  9. If the sum of first 7 terms of an A.P is 49 and that of 17 terms is 28...

    Text Solution

    |

  10. Show that a(1), a(2), ….,a(n),… form an A.P where an is defined as bel...

    Text Solution

    |

  11. If the sum of the first n^(th) terms of an A.P is 4n-n^(2) , what is t...

    Text Solution

    |

  12. Find the sum of the first 40 positive integers divisible by 6.

    Text Solution

    |

  13. Find the sum of the first 15 multiples of 8 .

    Text Solution

    |

  14. Find the sum of the odd numbers between 0 and 50.

    Text Solution

    |

  15. A contract on construction job specifies a penalty for delay of comple...

    Text Solution

    |

  16. A sum of Rs. 700 to be used to give seven cash prizes to students of a...

    Text Solution

    |

  17. In a scholl students thought of planting trees in and around the schoo...

    Text Solution

    |

  18. A spiral is made up of successive semicircles, with centres alternatel...

    Text Solution

    |

  19. 200 logs are stacked in the following manner : 20 logs in the bottom r...

    Text Solution

    |

  20. In a potato race, a bucket is placed at the starting point, which is 5...

    Text Solution

    |