Home
Class 11
MATHS
The first and the last terms of an A.P. ...

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?

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|9 Videos

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

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

The first and the last terms of a G.P are a and k respectively if the number of terms be n prove that n=1+(logk-loga)/(logr) where r is the common ratio

The first and last terms of an A.P. are a and l respectively. If S be the sum of the terms then show that the common difference is (l^(2) - a^(2))/(2S - (l+a)) .

The 17th term of an AP exceeds its 10 th term by 7. Find the common difference.

If the first term of an A.P. is – 18 and its 10th term is zero, then find its common difference.

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.

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

Write the first four terms of the A.P. when its first term is – 5 and the common difference is – 3.

In an A.P., the 1st term, last term and the sum of all term are 3, 39 and 525 respectively. Then the common difference will be

If the first term of an A.P. is 2 and common difference is 4, then the sum of its first 40 terms is-

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. Suppose that F(n + 1) =(2F(n) + 1)/2 for n = 1,2,3,,,, and F(1) = 2. T...

    Text Solution

    |

  2. If the numbers n – 2, 4n – 1 and 5n + 2 are in A.P., find the value of...

    Text Solution

    |

  3. The first and the last terms of an A.P. are 17 and 350 respectively. I...

    Text Solution

    |

  4. If a ,b ,and c are in A.P., then a^3+c^3-8b^3 is equal to (a).2a b c (...

    Text Solution

    |

  5. The number of terms of an A.P. is even. The sum of the odd terms is 24...

    Text Solution

    |

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

    Text Solution

    |

  7. If the sum of m terms of an A.P. is the same as the sum of its n terms...

    Text Solution

    |

  8. Find the 20th term of the A.P. whose 7th term is 24 less than the 11th...

    Text Solution

    |

  9. About 150 workers were engaged to finish a piece of work in a certain ...

    Text Solution

    |

  10. in a G.P (p+q)th term = m and (p-q) th term = n , then find its p th t...

    Text Solution

    |

  11. The sum of three numbers in A.P. is 3 and their product is – 35. Find ...

    Text Solution

    |

  12. Find the sum of first 51 terms of the A.P. whose second and third term...

    Text Solution

    |

  13. Let S1 , S2,,,,, be squares such that for each n ge 1 the length of a ...

    Text Solution

    |

  14. Find the 6th term from the end of the list of numbers 3, – 6, 12, – 24...

    Text Solution

    |

  15. Determine the 12th term of a G.P. whose 8th term is 192 and common rat...

    Text Solution

    |

  16. Consider a sequence {an }with a1=2 and an=(a(n-1)^ 2)/(a(n-2)) for all...

    Text Solution

    |

  17. Which of the following can be terms of any A.P.? a. 1,6,19 b. sqr...

    Text Solution

    |

  18. x, x + 3, x + 9 are first three terms of a G.P. Find the value of x.

    Text Solution

    |

  19. Each question has four choices a,b,c and d out of which only one is...

    Text Solution

    |

  20. Find the sum of the following A.P.s : (i)1/15, 1/12, 1/10, … to 11 ter...

    Text Solution

    |