Home
Class 11
MATHS
If n is a even number, find the sum of t...

If n is a even number, find the sum of the series upto n terms`1^2-2^2+3^2-4^2+5^2-......`

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPERS-SET 3

    UNITED BOOK HOUSE|Exercise EXERCISE|48 Videos
  • MODEL QUESTION PAPERS-SET 5

    UNITED BOOK HOUSE|Exercise EXERCISE|50 Videos

Similar Questions

Explore conceptually related problems

Find the sum of the series upto n terms 1.3.5+3.5.7+5.7.9+....

Sum of n terms the series : 1^2-2^2+3^2-4^2+5^2-6^2+....

Find the sum of the series 1^2+3^2+5^2+ ton terms.

Find the sum of the series upto a n terms 2+3.3+4.3^2+5.3^3+...+ to n terms.

Find the sum up to n terms : 1+2/3+3/3^2+4/3^3+...

Find the sum of the series 1+3x+5x^2+7x^3+.......... upto n terms.

Find the sum of n terms of the series 1+4/5+7/(5^2)+10/5^3+......

Find the sum of the series 1.n+2(n-1)+3(n-2)+.....n.1 .

Find the sum of 2.3+3.4+4.5+......to n terms.

Find the sum of n terms of the series 1/2.5+1/5.8+1/8.11 …to n terms.

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 4-EXERCISE
  1. If n be an integer, then find the value of tan{(npi)/(2)+(-1)^(n).(pi...

    Text Solution

    |

  2. If (1 + i) (2 +i) (3 + i)…..(n+i)=a+ib ,show that 2.5.10….(n^2+1)=a^2+...

    Text Solution

    |

  3. If n is a even number, find the sum of the series upto n terms1^2-2^2+...

    Text Solution

    |

  4. How many 5 digits telephone number can be formed from the digits from ...

    Text Solution

    |

  5. Find the value of 3^2/3. 3^2/9. 3^2/27…..

    Text Solution

    |

  6. If the gradiant of the line joining the points (2a, -2) and (1, -a)...

    Text Solution

    |

  7. Find the ratio in which the plane 2x+3y+5z=1 divides the line segment ...

    Text Solution

    |

  8. Evaluate:lim(xrarr0)sinx/x

    Text Solution

    |

  9. Find the condition for the existance of lim(xrarr0)f(x)

    Text Solution

    |

  10. Find the variance of 1, 2, 3, 4.

    Text Solution

    |

  11. There are four letters and four envelops with proper address. Find the...

    Text Solution

    |

  12. For any three sets A, B, C. prove that A xx (B cup C)=" (A xx B) cup(A...

    Text Solution

    |

  13. If cos alpha = k cos beta Show that tan ((alpha+beta)/2)=(1-k)/(1+k)co...

    Text Solution

    |

  14. Solve : sectheta-1=(sqrt2-1)tantheta

    Text Solution

    |

  15. Prove by mathematical induction.1/1.3+1/3.5+1/5.7+....+1/((2n-1)(2n+1)...

    Text Solution

    |

  16. How many different arragements of the letters of the word ALGEBRA can ...

    Text Solution

    |

  17. If the sum of the n term of an AP is n^2 + 2n . which, term will ...

    Text Solution

    |

  18. If z=x+iy and (z-i)/(z+1)is purely imaginary,then show that the point ...

    Text Solution

    |

  19. The equation of the two adjacent sides of a parallelogram are 4x+ 5y =...

    Text Solution

    |

  20. In a rectangle, the co-ordinates of the end point of a diagonal are (2...

    Text Solution

    |