Home
Class 12
MATHS
The 5th and 11th terms of an A.P. are 41...

The 5th and 11th terms of an A.P. are 41 and 20 respectively. What is its first term ? Find the sum of its first eleven terms.

Text Solution

Verified by Experts

The correct Answer is:
`55, 412(1)/(2)`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 B (Short Answer Type Questions)|42 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 B (Long Answer Type Questions)|52 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 B (Multiple Choice Questions)|12 Videos

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos

  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

The 5th and 13th terms of an A.P. are 16 and 28 respectively. Find the A.P.

The 5th and 13th term of an A.P are 5 and -3 respectively. Find the A.P and the 30th term.

The 8th and 14th term of a H.P. are 1/2 and 1/3, respectively. Find its 20th term. Also, find its general term.

The 10th and 14th terms of a H.P. are (2)/(29) and (2)/(41) respectively. Find the nth term of the H.P.

The 4th term and the 9th term of a GP is 54 and 13122 respectively. Find its general term.

The fifth terms of an A.P. is 30 and its twelfth term is 65, find the sum of its first 20 terms.

The first two term of a G.P are 125, and 25 respectively. Find the 5th and 6th term of the GP.

The twelfth term of an A.P. is (-13) and the sum of its first four terms is 24, find the sum of first 10 terms of the A.P.

If the P^(th) and q^(th) terms of an A.Pare a and b respectively,then show that the sum of first (p+q) terms of thath A.P is 1/2(p+q) (a+b+(a-b)/(p-q))

The first and the last terms of an A.P. are 17 and 350 respectively. If the common difference is 9, how many terms are there and what is their sum?

CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 B (Very Short Answer Type Questions)
  1. The 10th term of an A.P. is (-15) and the 31st term is (-57). Find the...

    Text Solution

    |

  2. If the pth term of an arithmetic progression is q and the qth term is ...

    Text Solution

    |

  3. Let T(r) be the rth term of an A.P. If m. T(m) = n.T(n), the show that...

    Text Solution

    |

  4. Which term of the A.P. {7, 11, 15, 19,….} is 111 ?

    Text Solution

    |

  5. Is 600 a term of the A.P. {2, 9, 16, 23,…} ? Give reasons for your ans...

    Text Solution

    |

  6. Fill up the gaps (indicated by ) in each of the following A.P.'s. 1,...

    Text Solution

    |

  7. Fill up the gaps (indicated by ) in each of the following A.P.'s. ,...

    Text Solution

    |

  8. Given, a^(2) + 2a + 2, 3a^(2) + 6a + 6 and 4a^(2) + 5a + 4 are in A.P....

    Text Solution

    |

  9. The nth term of an arithmetic progression is 3n-1. Find the progressio...

    Text Solution

    |

  10. Find the middle term (or terms) and the sum of each of the following s...

    Text Solution

    |

  11. Find the middle term (or terms) and the sum of each of the following s...

    Text Solution

    |

  12. Find the middle term (or terms) and the sum of each of the following s...

    Text Solution

    |

  13. The twelfth term of an A.P. is (-13) and the sum of its first four ter...

    Text Solution

    |

  14. The 5th and 11th terms of an A.P. are 41 and 20 respectively. What is ...

    Text Solution

    |

  15. The sum to n terms of an A.P. is n^(2). Find the common difference.

    Text Solution

    |

  16. Show that the sum of n terms of the series {4+12+20+28+…} is the squar...

    Text Solution

    |

  17. Prove that when 1 is added to the sum of n terms of the series {8+16+2...

    Text Solution

    |

  18. Find the sum of the series 1+3+4+8+7+13+10+18+… to 23 terms.

    Text Solution

    |