Home
Class 11
MATHS
The value of 2 + 4 + 6 + ….+ 2n is...

The value of 2 + 4 + 6 + ….+ 2n is

A

`(n(n-1))/2`

B

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

C

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

D

`n(n+1)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM, SEQUENCES AND SERIES

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS|10 Videos

  • BINOMIAL THEOREM, SEQUENCES AND SERIES

    SURA PUBLICATION|Exercise EXERCISE 5.4|17 Videos

  • BASIC ALGEBRA

    SURA PUBLICATION|Exercise SECTON - D (5 MARKS)|5 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (section - D)|5 Videos

Similar Questions

Explore conceptually related problems

If |x^n x^(n+2)x^(2n)1x^a a x^(n+5)x^(a+6)x^(2n+5)|=0,AAx in R ,w h e r en in N , then value of a is n b. n-1 c. n+1 d. none of these

Find the value of 6! (ii) 4 ! + 5 ! (iii) 3! - 2! (iv) 3! xx 4! (v) (12!)/(9!xx 3!) (vi) ((n+3)!)/((n+1)!)

E_n = - (313.6)/(n^2) , If the value of E_i = -34.84 to which value ‘n’ corresponds

If the curves y^2=6x , 9x^2+by^2=16 intersect each other at right angles then the value of b is: (1) 6 (2) 7/2 (3) 4 (4) 9/2

If the sum to first n terms of the A.P. 2, 4, 6, …. is 240, then the value of n is

If |[x^n, x^(n+2),x^(2n)],[1,x^a, a],[x^(n+5),x^(a+6),x^(2n+5)]|=0,AAx in R ,where n in N , then value of a is (a) n (b) n-1 (c) n+1 (d) none of these

Let f(1)=-2a n df^(prime)(x)geq4. 2for1lt=xlt=6. The smallest possible value of f(6) is 9 (b) 12 (c) 15 (d) 19

If (1+x+x^2)^n=a_0+a_1x+a_2x^2++a_(2n)x_(2n), find the value of a_0+a_6++ ,n in Ndot

SURA PUBLICATION-BINOMIAL THEOREM, SEQUENCES AND SERIES-EXERCISE 5.5
  1. The value of 2 + 4 + 6 + ….+ 2n is

    Text Solution

    |

  2. The coefficient of x^(6) in (2+2x)^(10) is

    Text Solution

    |

  3. The coefficient of x^(8)y^(12) in the expansion of (2x+3y)^(20) is

    Text Solution

    |

  4. If ""^(n)C(10)gt""^(n)C(r) for all possible r, then a value of n is

    Text Solution

    |

  5. If a is the arithmetic mean and g is the geometric mean of two numbers...

    Text Solution

    |

  6. If a, 8, b are in AP, a, 4, b are in GP, and if a, x, b are in HP then...

    Text Solution

    |

  7. The sequence 1/sqrt3,1/(sqrt3+sqrt2),1/(sqrt3+2sqrt2),... form an

    Text Solution

    |

  8. The HM of two positive numbers whose AM and GM are 16, 8 respectively ...

    Text Solution

    |

  9. If S(n) denotes the sum of n terms of an AP whose common difference is...

    Text Solution

    |

  10. The remainder when 38^(15) is divided by 13 is

    Text Solution

    |

  11. The n^(th) term of the sequence 1, 2, 4, 7, 11, … is

    Text Solution

    |

  12. The sum up to n terms of the series 1/(sqrt1+sqrt3)+1/(sqrt3+sqrt5)+1/...

    Text Solution

    |

  13. The n^(th) term of the sequence 1/2,3/4,7/8,15/16,... is

    Text Solution

    |

  14. Sum of first 'n' terms of the series sqrt(2)+sqrt(8)+sqrt(18)+… is .

    Text Solution

    |

  15. The value of the series 1/2+7/4+13/8+19/16+... is

    Text Solution

    |

  16. The sum of an infinite GP is 18. If the first term is 6, the common ra...

    Text Solution

    |

  17. The coefficient of x^(5) in the series e^(-2x) is

    Text Solution

    |

  18. The value of 1/(2!)+1/(4!)+1/(6!)+... is

    Text Solution

    |

  19. The value of 1-1/2(2/3)+1/3(2/3)^(2)-1/4(2/3)^(3)+... is

    Text Solution

    |