Home
Class 11
MATHS
If A be the arithmetic mean between two ...

If A be the arithmetic mean between two numbers and S be the sum of n arithmetic means between the same numbers, then -

A

S = nA

B

A = nS

C

A = S

D

None of these.

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CBSE COMPLEMENTARY MATERIAL|Exercise SECTION-B(SHORT anwer type )|9 Videos
  • SEQUENCES AND SERIES

    CBSE COMPLEMENTARY MATERIAL|Exercise SECTION-C(SHORT anwer type )|34 Videos
  • SEQUENCES AND SERIES

    CBSE COMPLEMENTARY MATERIAL|Exercise SECTION-A(true/false)|6 Videos
  • REALATION AND FUNCTIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise SHORT ANSWER TYPE QUESTIONS (4 MARKS)|29 Videos
  • SETS AND FUNCTIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise LONG ANSWER TYPE QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

If p is the first of the n arithmetic means between two numbers and q be the first on n harmonic means between the same numbers. Then,show that q does not lie between p and ((n+1)/(n-1))^(2)p

Sum of 'n' arithmetic means between a and b is

Prove that the sum of m arihmetic means between the two numbers is to the sum of n arithmetic means between them is m:n.

Suppose p is the first of n(ngt1) arithmetic means between two positive numbers a and b and q the first of n harmonic means between the same two numbers. The value of p is

Suppose p is the first of n(ngt1) arithmetic means between two positive numbers a and b and q the first of n harmonic means between the same two numbers. The value of q is

The sum of 100 arithmetic means between 1 and 2 will be

The sum of 100 arithmetic means between 1 and 2 will be

The sum of 100 arithmetic means between 1 and 2 will be

The sum of 100 arithmetic means between 1 and 2 will be

CBSE COMPLEMENTARY MATERIAL-SEQUENCES AND SERIES -SECTION-A(MCQ)
  1. The interior angles of a polygon are in A.P. the smallest angle is 120...

    Text Solution

    |

  2. alpha and beta are the roots of the equation x^(2)-3x+a=0 and gamma a...

    Text Solution

    |

  3. If A be the arithmetic mean between two numbers and S be the sum of n ...

    Text Solution

    |

  4. The mth term of an A.P. is (1)/(n) and nth term is (1)/(m). Its (mn)th...

    Text Solution

    |

  5. Insert n geometric means between a and b.

    Text Solution

    |

  6. What is the 15^(th) term of the series 3, 7, 13, 21, 31, 43, …….?

    Text Solution

    |

  7. If a ,b ,a n dc are in G.P. then prove that 1/(a^2-b^2)+1/(b^2)=1/(b^2...

    Text Solution

    |

  8. If the 10th term of a GP is 9 and 4th term is 4, then what is its 7th ...

    Text Solution

    |

  9. If the arithmetic and geometric means of two numbers are 10, 8 respect...

    Text Solution

    |

  10. What is the sum of numbers lying between 107 and 253, which are divisi...

    Text Solution

    |

  11. Find the sum of all two digit numbers which when divided by 4, yiel...

    Text Solution

    |

  12. The first and last terms of an A.P. are 1 and 11. If the sum of its...

    Text Solution

    |

  13. If four numbers in A.P. are such that their sum is 50 and the great...

    Text Solution

    |

  14. If the first second and last terms of an A.P. are a, b and 2a respecti...

    Text Solution

    |

  15. If pth, qth, rth terms of an A.P. are in G.P. then common ratio of ths...

    Text Solution

    |

  16. The n^(th) term of a GP is 128 and the sum of its n terms is 255. If i...

    Text Solution

    |

  17. If A be one A.M. and p ,q be two G.M. ' s between two numbers, then 2A...

    Text Solution

    |

  18. In a GP if the (m+n)th term is p and (m-n)th term is q then mth term i...

    Text Solution

    |

  19. If sumn=210, then sumn^2=

    Text Solution

    |

  20. The sum of 10 terms of the series sqrt2 + sqrt6 + sqrt18 +... is

    Text Solution

    |