Home
Class 11
MATHS
Suppose that the 6^(th) and 17^(th) term...

Suppose that the `6^(th)` and `17^(th)` terms of an A.P. are 19 and 41 respectively Find the first term and the common difference of the A.P.

Text Solution

Verified by Experts

9,2
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|83 Videos
  • SETS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|268 Videos

Similar Questions

Explore conceptually related problems

The 6^(th) and 17^(th) terms of an A.P are 19 and 41 respectively, find the 40^(th) term.

The 5^(th) and 7^(th) terms of a G.P. are 12 and 48 respectively. Then the 9^(th) term is

Suppose that the first and the 5^(th) terms of an A.P. are-14 and 2 respectively Find the common difference of the A.P

If the 10^(th) and 12^(th) terms of an A.P are respectively 15 and 21 then the common difference of the A.P. is

Suppose that the first and the 5^(th) terms of an A.P. are-14 and 2 respectively If the sum of the terms of the A.P is 40, find the number of terms in the A.P.

The (m+n) th and (m-n ) th terms of a G.P are p and and q respectively . The the mth term of the G.P is

The 5^th , 8^th and 11^th terms of a GP are p, q and s respectively. Prove that q^2 = ps .

If the 4^(th),10^(th) and 16^(th) terms of a G.P. are x,y and z respectively ,then prove that x,y,z are in G.P.P.

The n^(th) term of a sequence is given by a_n=4n+7 Is the sequence an A.P?. If yes, find the common difference of the A.P

Show that the sum of (m+n)^(th) and (m-n)^(th) terms of an A.P . Is equal to twice the m^(th) term.

A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
  1. Find the number of natural numbers between 1 and 100 which are divisib...

    Text Solution

    |

  2. Find the sum of natural numbers between 1 and 100 which are divisible ...

    Text Solution

    |

  3. Suppose that the 6^(th) and 17^(th) terms of an A.P. are 19 and 41 res...

    Text Solution

    |

  4. The 6^(th) and 17^(th) terms of an A.P are 19 and 41 respectively, fin...

    Text Solution

    |

  5. Suppose that the first and the 5^(th) terms of an A.P. are-14 and 2 re...

    Text Solution

    |

  6. Suppose that the first and the 5^(th) terms of an A.P. are-14 and 2 re...

    Text Solution

    |

  7. If a is the first term and d is the common difference of an A.P, what ...

    Text Solution

    |

  8. If 10 times the 10^(th) term of the A.P is equal to 15 times 15^(th) t...

    Text Solution

    |

  9. Suppose that three numbers are in A.P. If the sum of the three numbers...

    Text Solution

    |

  10. Suppose that three numbers are in A.P.if the sum of the three numbers ...

    Text Solution

    |

  11. Suppose that four numbers are in A.P. Let the four numbers be a-3d, a-...

    Text Solution

    |

  12. Suppose that four numbers are in A.P. Let the four numbers be a-3d, a-...

    Text Solution

    |

  13. Consider the A.P. 18,15,12.... Find the sum to n terms of the A.P.

    Text Solution

    |

  14. Consider the A.P. 18,15,12.... How many terms are needed to give the s...

    Text Solution

    |

  15. Consider the equation 1+6+11 + 16 + ... +x= 148 If n is the number of ...

    Text Solution

    |

  16. Consider the equation 1+6+11 + 16 + ... +x= 148 Prove that x^2+5x-1476...

    Text Solution

    |

  17. Consider the equation 1+6+11 + 16 + ... +x= 148 Solve the given equati...

    Text Solution

    |

  18. If S1,S2 and S3 are respectively the sums of n, 2n and 3n terms of an ...

    Text Solution

    |

  19. If S1,S2 and S3 are respectively the sums of n, 2n and 3n terms of an ...

    Text Solution

    |

  20. Find the number of integers between 100 and 800 each of which on divis...

    Text Solution

    |