Home
Class 11
MATHS
1^(2) + 2^(2) + 3^(2) + …+ 10^(2) is :...

`1^(2) + 2^(2) + 3^(2) + …+ 10^(2)` is :

A

385

B

605

C

285

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Answer the following questions)|11 Videos

  • BINOMIAL THEOREMN,SEQUENCES AND SERIES

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE(Choose the correct option for the following)|31 Videos

  • DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|73 Videos

Similar Questions

Explore conceptually related problems

The sum up to 10 terms of the series (3 xx 1^(3))/(1^(2)) + (5 xx (1^(3) + 2^(3)))/(1^(2) + 2^(2)) + (7 xx (1^(3) + 2^(3) + 3^(3)))/(1^(2) + 2^(2) + 3^(2)) + ....

Let S_(k) = (1+2+3+...+k)/(k) . If S_(1)^(2) + s_(2)^(2) +...+S_(10)^(2) = (5)/(12)A , then A is equal to

Let S_(1) = sum__(j=1)^(10) j(j-1)""^(10)C_(j), S_(2) = sum_(j=1)^(10)""^(10)C_(j) , and S_(3) = sum_(j=1)^(10) j^(2).""^(10)C_(j) . Statement 1 : S_(3) xx 2^(9) . Statement 2 : S_(1) = 90 xx 2^(8) and S_(2) = 10 xx 2^(8) .

it x_(1)^(2) +2y_(1)^(2)+3z_(1)^(2)=x_(2)^(2)+2y_(2)^(2)+3z_(2)^(2)=x_(3)^(2)+2y_(3)^(2)+3z_(3)^(2)=2 " and " x_(2)x_(3) +2y_(2)y_(3)+3z_(2)z_(3)=x_(3)x_(1)+2y_(3)y_(1)+3z_(3)z_(1)=x_(1)x_(2)+2y_(1)y_(2)+3z_(1)z_(2)=1 Then find the value of |{:(x_(1),,y_(1),,z_(1)),(x_(2),,y_(2),,z_(2)),(x_(3),,y_(3),,z_(3)):}|

The integral int[2x^[12]+5x^9]/[x^5+x^3+1]^3.dx is equal to- (A) x^10 / (2(x^5 + x^3 +1)^2) (B) x^5/ (2(x^5 + x^3 +1)^2) (C) -x^10 / (2(x^5 + x^3 +1)^2) (D) - x^5 / (2(x^5 + x^3 +1)^2)

2(2x+3) -10 lt 6 (x-2)

The combined equation of three sides of a triangle is (x^2-y^2)(2x+3y-6)=0 . If (-2,a) is an interior point and (b ,1) is an exterior point of the triangle, then (a) 2 < a < (10)/3 (b) -2 < a < (10)/3 (c) -1< b < 9/2 (d) -1< b < 1

If x=(1)/(1^(2))+(1)/(3^(2))+(1)/(5^(2))+.... , y=(1)/(1^(2))+(3)/(2^(2))+(1)/(3^(2))+(3)/(4^(2))+.... and z=(1)/(1^(2))-(1)/(2^(2))+(1)/(3^(2))-(1)/(4^(2))+... then

If z=(-1)/(2)+i(sqrt(3))/(2), " then "8+10z+7z^(2) is equal to

The sum to infinity of the series 1+2/3+6/(3^2)+(10)/(3^3)+(14)/(3^4). . . . . . is (1) 2 (2) 3 (3) 4 (4) 6

PREMIERS PUBLISHERS-COMBINATORICS AND MATHEMATICAL INDUCTION-PROBLEMS FOR PRACTICE (Choose the correct option for the following)
  1. ""^(7)C(3) + ""^(7)C(2)=""^(x)C(y) then x and y are:

    Text Solution

    |

  2. If 5 parallel lines intersect another set of 4 , parallel lines (not p...

    Text Solution

    |

  3. 1^(2) + 2^(2) + 3^(2) + …+ 10^(2) is :

    Text Solution

    |

  4. If ""^(x^(2)-x)C(7)=""^(x^(2)-x)C(5) then x is :

    Text Solution

    |

  5. A photographer wants to take a photo of 3 students out of 6 students ...

    Text Solution

    |

  6. In 3 fingers, the number of ways five rings can be worn in...............

    Text Solution

    |

  7. There are 8 points in a plane, no three of them are collinear .The num...

    Text Solution

    |

  8. 10 students compete in a race. In how many ways first two prizes be g...

    Text Solution

    |

  9. How many lines can be drawn given six points of which 3 are collinear?

    Text Solution

    |

  10. Find the odd one out:

    Text Solution

    |

  11. Among the following, find which one cannot be no. of digonals of a pol...

    Text Solution

    |

  12. Find the correct statement:

    Text Solution

    |

  13. Find the correct statement:

    Text Solution

    |

  14. Find the incorrect statement:

    Text Solution

    |

  15. Find the incorrect statement:

    Text Solution

    |

  16. Find the correct statement:

    Text Solution

    |

  17. Find the incorrect statement:

    Text Solution

    |

  18. Assertion: 1+2 + 3 + ... n =(n(n+1))/2 Reason: In a statement P(n), if...

    Text Solution

    |

  19. Assertion: ""^(24)C(4) + overset(3)underset(r=0)(sum) ""^(27-r)C(3) ="...

    Text Solution

    |

  20. lfloor(n) + lfloor(n+1) is :

    Text Solution

    |