Home
Class 10
MATHS
The arithmetic mean of 1,2,3,...n is (...

The arithmetic mean of `1,2,3,...n` is (a)`(n+1)/2` (b) `(n-1)/2` (c) `n/2` (d) `n/2+1`

Text Solution

AI Generated Solution

To find the arithmetic mean of the series `1, 2, 3, ..., n`, we can follow these steps: ### Step 1: Identify the series The series is `1, 2, 3, ..., n`. This is an arithmetic progression (AP) where: - The first term \( a = 1 \) - The common difference \( d = 1 \) - The number of terms \( n \) ...
Promotional Banner

Topper's Solved these Questions

  • SOME APPLICATIONS OF TRIGONOMETRY

    RD SHARMA|Exercise All Questions|154 Videos
  • SURFACE AREAS AND VOLUMES

    RD SHARMA|Exercise All Questions|417 Videos

Similar Questions

Explore conceptually related problems

The arithmetic mean of the series 1,2,4,8,16,....2^(n) is (2^(n)-1)/(n+1) (b) (2^(n)+1)/(n) (c) (2^(n)-1)/(n) (d) (2^(n+1)-1)/(n+1)

The mean of first n odd natural number is (a) (n+1)/2 (b) n/2 (c) n (d) n^2

Find the arithmetic mean of the series 1 , 3 , 5 , …, (2n-1) .

The arithmetic mean of the series 1 , 3, 3^(2) , …., 3^(n-1) is "_______" .

The arithmetic mean of ""^(n)C_(0),""^(n)C_(1),""^(n)C_(2), ..., ""^(n)C_(n) , is

Mean deviation of the series a,a+d,a+2d,......,a+2nd from its mean is (a) ((n+1)d)/((2n+1))( b )(nd)/(2n+1) (c) ((2n+1)d)/(n(n+1)) (d) (n(n+1)d)/(2n+1)

Sum of series : 1+2+3+......... +n is (A) ((n)(n+1))/2 (B) n(n+1) (C) ((n+1)(n+2))/2 (D) none of these.

RD SHARMA-STATISTICS-All Questions
  1. The mean of 1,3,4,5,7,4 is mdot The number 3,2,2,4,3,3,p have mean m-1...

    Text Solution

    |

  2. The mean of n observations is X . If the first item is increased by...

    Text Solution

    |

  3. The arithmetic mean of 1,2,3,...n is (a)(n+1)/2 (b) (n-1)/2 (c) n/...

    Text Solution

    |

  4. During the medical check-up of 35 students of a class, their weights ...

    Text Solution

    |

  5. Given that tantheta=1/(sqrt(3,)) the value of (cos e c^2theta-sec^2the...

    Text Solution

    |

  6. If sin3theta=cos(theta-6^0), where (3theta)a n d(theta-6^0) are both...

    Text Solution

    |

  7. For the following grouped frequency distribution find the mode: Class...

    Text Solution

    |

  8. Compute the value of mode for the following frequency distribution. Cl...

    Text Solution

    |

  9. Find the value of x , if the mode of the following data is 25: 15,20,2...

    Text Solution

    |

  10. Compute the mode for the following frequency distribution:

    Text Solution

    |

  11. The frequency distribution of scores obtained by 230 candidates in a ...

    Text Solution

    |

  12. Draw a cumulative frequency curve and cumulative frequency polygon for...

    Text Solution

    |

  13. Find the median of the following data: class : 0-10 , frequenc...

    Text Solution

    |

  14. Following is the age distribution of a group of students. Draw the c...

    Text Solution

    |

  15. The following observations relate to the height of a group of persons....

    Text Solution

    |

  16. If the mean of the following distribution is 54, find the value of p :...

    Text Solution

    |

  17. If 2costheta-sintheta=x and costheta-3sintheta=ydot Prove that 2x^2+y^...

    Text Solution

    |

  18. Find the mean marks of the students from the following cumulative fr...

    Text Solution

    |

  19. Find the mean marks of students from the following cumulative frequenc...

    Text Solution

    |

  20. The number of students absent in a school was recorded every day for ...

    Text Solution

    |