Home
Class 11
MATHS
Insert 6 no. between 3 and 24 such that...

Insert 6 no. between 3 and 24 such that the resulting sequence is an A.P.

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    PATHFINDER|Exercise QUESTION BANK|41 Videos

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos

Similar Questions

Explore conceptually related problems

Example 8 Insert 6 numbers between 3 and 24 such that the resulting sequence is an A.P.

Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.

Insert five arithmetic means between 8 and 26. or Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.

Insert two numbers between 3 and 81 so that the resulting sequence is G.P.

Insert three numbers between 1 and 256 so that the resulting sequence is a G.P.

Between 1 and 31, m numbers have been inserted in such a way that the resulting sequence is an A. P. and the ratio of 7^(th) and (m - 1)^(th) numbers is 5 : 9. Find the value of m.

Between 1 and 31, m numbers have been inserted in such a way that the resulting sequence is an A. P. and the ratio of 7^(t h) and (m-1)^(t h) numbers is 5 : 9. Find the value of m.

Insert a number of arithmetic means between 4 and 34 such that the sum of the resulting A.P. is 133.

If n arithmetic means are inserted between 2 and 38, then the sum of the resulting series is obtained as 200. Then find the value of ndot

Insert four H.M.’s between 2/3 and 2/13.

PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
  1. Find the sum of the series 1.n+2(n-1)+3(n-2)+.....n.1.

    Text Solution

    |

  2. Find the sum of n terms of the series ab+(a-1)(b-1)+(a-2)(b-2)+.... if...

    Text Solution

    |

  3. Insert 6 no. between 3 and 24 such that the resulting sequence is an ...

    Text Solution

    |

  4. Between two no. whose sum is 13/6, an even no. of A.M's are inserted ....

    Text Solution

    |

  5. Which term of the G.P. 2,8,32,.... upto n terms is 131072 ?

    Text Solution

    |

  6. Find the least value of n for which 1+3+3^2+....+3^(n-1) gt 1000.

    Text Solution

    |

  7. If p^th ,q^th and r^th terms of a G.P. be a, b, c(a,b,c>0) , prove tha...

    Text Solution

    |

  8. Find the sum of first n terms and the sum of first 5 terms of the geom...

    Text Solution

    |

  9. How many terms of the G.P 3,3/2,3/4 ...... are needed to give the sum ...

    Text Solution

    |

  10. If a1,a2,a3(a1 gt0) are in G.P with common ratio r, then the value of...

    Text Solution

    |

  11. The sum of first three terms of a G.P is 13/12 and their products is -...

    Text Solution

    |

  12. Find the sum of the sequence 7,77,777,7777,......to n terms.

    Text Solution

    |

  13. Find the natural no. a for which sum (k=1)^nf(a+k)=16(2^n-1) where the...

    Text Solution

    |

  14. If x=1+a+a^2+a^3+......infty and y=1+b+b^2+b^3+......infty show that 1...

    Text Solution

    |

  15. If 1/1^2+1/2^2+1/3^2+.... upto infty=pi^2/6 , then, find 1/1^2+1/3^2+1...

    Text Solution

    |

  16. If 1/1^2+1/2^2+1/3^2+.... upto infty=pi^2/6 , then, find 1-1/2^2+1/3^2...

    Text Solution

    |

  17. Find the sum of the series upto n terms ((2n+1)/(2n-1))+3((2n+1)/(2n-1...

    Text Solution

    |

  18. Find the sum of series 4-9x+16x^2-25x^3+36x^4-49x^5+..... to infinite...

    Text Solution

    |

  19. If a,b,c be in H.P prove that (1/a+1/b-1/c)(1/b+1/c-1/a)=4/(ac)-3/b^2

    Text Solution

    |

  20. If a,b,c are in H.P. show that a/(b+c),b/(c+a),c/(a+b) are also in H.P...

    Text Solution

    |