Home
Class 11
MATHS
Between 1 and 31, m numbers have been in...

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 7th and `(m -1)^(th)` numbers is 5 : 9. Find the value of m.

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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

Between 1 and 31, n A.M's have been inserted in sucha a way that the ratio of 7th and (m-1)th means is 5:9, find the value of m.

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

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

If m = 2, find the value of: 9 – 5m

If the sum of n terms of an A.P. is 3n^2 + 5n and its m^(th) term is 164, find the value of m.

Find the ratio of the following: 40 cm to 1.5 m

PSEB-SEQUENCES AND SERIES-EXERCISE
  1. Insert five numbers between 8 and 26 such that the resulting sequence ...

    Text Solution

    |

  2. If (a^n+b^n)/(a^(n-1)+b^(n-1)) is the A.M. between a and b, then find ...

    Text Solution

    |

  3. Between 1 and 31, m numbers have been inserted in such a way that the ...

    Text Solution

    |

  4. A man starts repaying a loan as first instalment of Rs. 100. If he inc...

    Text Solution

    |

  5. The difference between any two consecutive interior angles of a polygo...

    Text Solution

    |

  6. Find the 20th and nth terms of the G.P. 5/2,5/4,5/8,.....

    Text Solution

    |

  7. Find the 12th term of a G.P. whose 8th term is 192 and the common rati...

    Text Solution

    |

  8. The 5th, 8th and 11th terms of a G.P. are p, q and x, respectively. Sh...

    Text Solution

    |

  9. The 4th term of a G.P. is square of its second term, and the first ter...

    Text Solution

    |

  10. Which term of the following sequence:- 2,2sqrt2,4,.....is 128?

    Text Solution

    |

  11. Which term of the following sequence:- sqrt3,3,3sqrt3,....is 729?

    Text Solution

    |

  12. Which term of the following sequence:- 1/3,1/9,1/27,.....is 1/19683 ?

    Text Solution

    |

  13. For what values of x, the numbers -2/7,x, -7/2 are in G.P.?

    Text Solution

    |

  14. Find the sum to indicated number of terms of the geometric progression...

    Text Solution

    |

  15. Find the sum to indicated number of terms of the geometric progression...

    Text Solution

    |

  16. Find the sum to indicated number of terms of the geometric progression...

    Text Solution

    |

  17. Find the sum to indicated number of terms of the geometric progression...

    Text Solution

    |

  18. Evaluate sum(k=1)^11(2+ 3^k).

    Text Solution

    |

  19. The sum of first three terms of a G.P. is 39/10 and their product is 1...

    Text Solution

    |

  20. How many terms of G.P. 3, 3^2, 3^3, ... are needed to give the sum 120...

    Text Solution

    |