Home
Class 12
MATHS
For any integer n ge 1, the sum sum(k=1)...

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

A

`(n(n+1)(n+2))/(6)`

B

`(n(n+1)(n+1))/(6)`

C

`(n(n+1)(2n+7))/(6)`

D

`(n(n+1)(2n+9))/(6)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    BITSAT GUIDE|Exercise BITSAT ARCHIVES|18 Videos

  • RECTANGULAR COORDINATES AND STRAIGHT LINE

    BITSAT GUIDE|Exercise BITSAT ARCHIVES|16 Videos

  • SETS, RELATIONS AND FUNCTIONS

    BITSAT GUIDE|Exercise BITSAT Archives|19 Videos

Similar Questions

Explore conceptually related problems

The sum sum_(k=1)^(n)k(k^(2)+k+1) is equal to

sum_(k=1)^n k^3=

The sum sum_(k=1)^(20) k (1)/(2^(k)) is equal to

For any integer n>=1, then sum_(k=1)^(n)k(k+2)=

The Sum sum_(K=1)^(20)K(1)/(2^(K)) is equal to.

sum_(k=1)^(3n)6nC_(2k-1)(-3)^(k) is equal to

sum _(k=1)^(n) tan^(-1). 1/(1+k+k^(2)) is equal to

sum sum_ (0 <= i

sum_(k =1)^(n) k(1 + 1/n)^(k -1) =

BITSAT GUIDE-SEQUENCES AND SERIES -BITSAT ARCHIVES
  1. If p, q, r and s are positive real numbers such that p+ q + r + s = 2,...

    Text Solution

    |

  2. Sum of the series 1 + 2.2 + 3.2^(2) + 4.2^(3)+…+ 100.2^(99) is

    Text Solution

    |

  3. Find the sum to n terms of the series 5 + 55 + 555 + ...

    Text Solution

    |

  4. If a, b c are in GP and a^((1)/(x)) =b^((1)/(y)) =c^((1)/(z)), then x...

    Text Solution

    |

  5. The sum of the first n terms of the series (1)/(2)+(3)/(4)+(7)/(8)+(15...

    Text Solution

    |

  6. The sum of 0.2 +0.22+0.222+ … to n terms is equal to

    Text Solution

    |

  7. If AM and HM between two numbers are 27 and 12 respectively, then thei...

    Text Solution

    |

  8. The value of (2)/(1!) + (2+4)/(2!) + (2+4+6)/(3!) + … is

    Text Solution

    |

  9. IF a(1),a(2),a(3),"...."a(10) be in AP and h(1),h(2),h(3),"...."h(10) ...

    Text Solution

    |

  10. Let n is a rational number and x is a real number such that |x|lt1, th...

    Text Solution

    |

  11. The HM of two numbers is 4. If their arithmetic mean A and geometric m...

    Text Solution

    |

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

    Text Solution

    |

  13. In DeltaABC, if (1)/(b+c)+(1)/(c+a)=(3)/(a+b+c), then C is equal to

    Text Solution

    |

  14. What is the sum of n terms of the series sqrt(2)+sqrt(8)+sqrt(18)+sqrt...

    Text Solution

    |

  15. Find the sum of the series 1 . 3^(2) + 2.5 ^(2) + 3.7^(2) +…+ to n t...

    Text Solution

    |

  16. If a = log(2)3, b = log(2) 5 and c = log(7)2, then log(140) 63 in term...

    Text Solution

    |

  17. When 2^(31) is divided by 5 the remainder is

    Text Solution

    |

  18. Let alpha, beta, gamma and delta be four positive real numbers such t...

    Text Solution

    |