Home
Class 12
MATHS
Le a1, a2, a3, ,a(11) be real numbers s...

Le `a_1, a_2, a_3, ,a_(11)` be real numbers satisfying `a_2=15 , 27-2a_2>0a n da_k=2a_(k-1)-a_(k-2)` for `k=3,4, , 11.` If `(a1 2+a2 2+...+a 11 2)/(11)=90 ,` then the value of `(a1+a2++a 11)/(11)` is equals to _______.

A

0

B

1

C

11

D

100

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (MATCHING ENTRIES) |4 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (ASSERTION/REASON) |1 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 5 (FILL IN THE BLANKS) |2 Videos

  • PROBABILITY

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE|6 Videos

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Self Assessment Test (Multiple Choise Questions)|34 Videos

Similar Questions

Explore conceptually related problems

Le a_(1),a_(2),a_(3),a_(11) be real numbers satisfying a_(1)=15,27-2a_(2)>0 anda_ =2a_(k-1)-a_(k-2) for k=3,4,11. If (a12+a22+...+a112)/(11)=90, then the value of (a1+a2++a11)/(11) is equals to

Let a1,a2,a3 ...... a11 be real numbers satisfying a_1 =15, 27-2a_2 > 0 and a_k= 2a_(k-1) - a_(k-2) for k=3,4,.....11 If (a1^2 +a2^2.......a11^2)/11 = 90 then find the value of (a_1+a_2....+a_11)/11

If a_(n) = n(n!) , then what is a_1 +a_2 +a_3 +......+ a_(10) equal to ?

If a_i > 0 for i=1,2,…., n and a_1 a_2 … a_(n=1) , then minimum value of (1+a_1) (1+a_2) ….. (1+a_n) is :

ML KHANNA-PROGRESSIONS -SELF ASSESSMENT TEST
  1. If H be the harmonic mean between x and y, then show that (H+x)/(H-x)+...

    Text Solution

    |

  2. In a H.P., p^(th) term is q and q^(th) term is p then pq^(th) term is

    Text Solution

    |

  3. The harmonic mean of (a)/(1 - ab) and (a)/(1 + ab) is

    Text Solution

    |

  4. If b^(2), a^(2), c^(2) are in A.P., then a + b, b + c, c + a will be i...

    Text Solution

    |

  5. If (x + y)/(2), y ,(y + z)/(2) are in H.P., then x, y, z are in

    Text Solution

    |

  6. If a,b,c are in A.P., then 2^(ax+1),2^(bx+1),2^(cx+1), x in R, are in

    Text Solution

    |

  7. If a, ,b c, are in G.P., then log(a) n, log(b) n, log(c) n are in

    Text Solution

    |

  8. For all ngeq1, prove that 1/(1. 2)+1/(2. 3)+1/(3. 4)+dotdotdot+1/(n(n+...

    Text Solution

    |

  9. The value of underset(i=1)overset(n)sumunderset(j=1)overset(i)sumunde...

    Text Solution

    |

  10. 11^(3)+12^(3)+13^(3)+………….+20^(3) is

    Text Solution

    |

  11. For any integer n ge 1, the sum sum(k=1)^(n) k (k + 2) is equal to

    Text Solution

    |

  12. Find the sum of first n terms of the series 1^(3) + 3^(3) + 5^(3) +…

    Text Solution

    |

  13. If the sum of first n terms of an AP is cn^(2), then the sum of square...

    Text Solution

    |

  14. A man saves Rs. 200 in each of the first three months of his service. ...

    Text Solution

    |

  15. If 100 times the 100th term of an AP with non-zero common difference e...

    Text Solution

    |

  16. Let a(1),a(2),a(3), . . . be a harmonic progression with a(1)=5anda(20...

    Text Solution

    |

  17. Let a1, a2, a3, ,a(100) be an arithmetic progression with a1=3a n dsp...

    Text Solution

    |

  18. Let S(k), where k = 1,2,....,100, denotes the sum of the infinite geom...

    Text Solution

    |

  19. Le a1, a2, a3, ,a(11) be real numbers satisfying a2=15 , 27-2a2>0a n ...

    Text Solution

    |

  20. The sum of first 20 terms of the sequence 0.7,0.77,0.777,"……" is

    Text Solution

    |