Home
Class 11
MATHS
Insert for A.M's between (1)/(2) and 3 a...

Insert for A.M's between `(1)/(2)` and 3 and prove that `A_(1) + A_(2) + A_(3) + A_(4)= 7`

Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Exercise: 9.1|14 Videos
  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Exercise: 9.2|18 Videos
  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Question of Module)|16 Videos
  • SETS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|28 Videos

Similar Questions

Explore conceptually related problems

What does a_(1) + a_(2) + a_(3) + …..+ a_(n) represent

If a_(i) gt 0 AA I in N such that prod_(i=1)^(n) a_(i) = 1 , then prove that (a + a_(1)) (1 + a_(2)) (1 + a_(3)) .... (1 + a_(n)) ge 2^(n)

If a_(1),a_(2),a_(3),".....",a_(n) are in HP, than prove that a_(1)a_(2)+a_(2)a_(3)+a_(3)a_(4)+"....."+a_(n-1)a_(n)=(n-1)a_(1)a_(n)

x,y and z are in A.P. A_(1) is the A.M. of x and y. A_(2) is the A.M of y and z. Prove that the A.M. of A_(1) and A_(2) is y.

Find the sum of first 24 terms of the A.P. a_(1) , a_(2), a_(3) ...., if it is know that a_(1) + a_(5) + a_(10) + a_(15) + a_(20) + a_(24) = 225

If a_(1), a_(2), a_(3) ,…., a_(n) are the terms of arithmatic progression then prove that (1)/(a_(1)a_(2)) + (1)/(a_(2)a_(3)) + (1)/(a_(3)a_(4)) + ….+ (1)/(a_(n-1) a_(n)) = (n-1)/(a_(1)a_(n))

10 arithmetic mean between a and b are A_(1),A_(2),A_(3).........A_(10) then A_1+A_2+A_3+...........+A_(10)=........

A_(1),A_(2),A_(3)...........A_(n) are arithmetic mean between two number a and b then a A_1 , A_(2) , ...............An , b becomes arithmetic sequence.

KUMAR PRAKASHAN-SEQUENCE AND SERIES-Solutions of NCERT Exemplar Problems -Question of Module
  1. Insert for A.M's between (1)/(2) and 3 and prove that A(1) + A(2) + A(...

    Text Solution

    |

  2. The terms 1,1,2,3,5,8,13,……respresents which sequence?

    Text Solution

    |

  3. Which is the sequence whose terms are not finite?

    Text Solution

    |

  4. What does a(1) + a(2) + a(3) + …..+ a(n) represent

    Text Solution

    |

  5. Give new series by adding 2 in each term of arithmetic sequence 2,4,6,...

    Text Solution

    |

  6. Find twelveth term of A.P. 4, 8, 12…….

    Text Solution

    |

  7. 3 + 6+ 9 +…….Find sum of n terms.

    Text Solution

    |

  8. 4 + 8 + 12+…….Find sum of first 15 terms.

    Text Solution

    |

  9. Obtain arithmetic mean of 2 and 128

    Text Solution

    |

  10. Insert 5 arithmetic mean between 3 and 4.

    Text Solution

    |

  11. Find 8^(th) term of geometric sequence 3, 6,12,….

    Text Solution

    |

  12. Find n^(th) term of Geometric sequence 1,3,9,27,……

    Text Solution

    |

  13. Find S(n) for geometric sequence 4, 8, 15, 32,……

    Text Solution

    |

  14. Find sum of first 10 terms of geometric series 3,9, 27,……

    Text Solution

    |

  15. Find geometric mean of numbers 5 and 125.

    Text Solution

    |

  16. Insert 3 geometric mean between 4 and 64.

    Text Solution

    |

  17. The arithmetic and geometric mean of two positive numbers are 8 and 4 ...

    Text Solution

    |

  18. If A and G be A.M. and G.M., respectively between two positive numbers...

    Text Solution

    |

  19. Find value : 5^(2) + 6^(2) + 7^(2)+ …….+ 25^(2)

    Text Solution

    |

  20. Prove the following by using the principle of mathematical induction f...

    Text Solution

    |