Home
Class 12
MATHS
Sum of n terms the series : 1^2-2^2+3^2-...

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

A

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

B

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

C

`-n (n + 1)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 4 (TRUE AND FALSE) |1 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 4 (FILL IN THE BLANKS) |7 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 3 (FILL IN THE BLANKS) |1 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

Assertion: If n is odd then the sum of n terms of the series 1^2+2xx2^2+3^2+2xx4^2+5^2+2xx6^2+7^2+…is (n^2(n+1))/2. If n is even then the sum of n terms of the series. 1^2+2xx2^2+3^2+2xx4^2+5^2+2xx6^2+…..is (n(n+1)^2)/2 (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Find the sum of n terms of the series 1^3+3.2^2+3^3+3.4^2+5^3+3.6^2+....... when (i)n is odd (ii)n is even

Write the sum of the series 1^2-2^2+3^2-4^2+5^2-6^2...........+(2n-1)^2-(2n)^2dot

Statement 1 The sum of first n terms of the series 1^(2)-2^(2)+3^(2)-4^(2)_5^(2)-"……" can be =+-(n(n+1))/(2) . Statement 2 Sum of first n narural numbers is (n(n+1))/(2)

ML KHANNA-PROGRESSIONS -PROBLEM SET - 4 (MULTIPLE CHOICE QUESTIONS)
  1. If the sum of n terms of an A.P. is an(n - 1), then sum of squares of ...

    Text Solution

    |

  2. Balls are arranged in rows to form an equilateral triangle. The first ...

    Text Solution

    |

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

    Text Solution

    |

  4. The sum of the series: 1/((log)2 4)+1/((log)4 4)+1/((log)8 4)++1/((log...

    Text Solution

    |

  5. The sum of the series (1)/(3 xx 7) + (1)/(7 xx 11) + (1)/(11 xx 15)+… ...

    Text Solution

    |

  6. If (1^2-t1)+(2^2-t2)++(n^2-tn)+=(n(n^2-1))/3 , then tn is equal to n^2...

    Text Solution

    |

  7. The sum of n terms of the series 1^2+2.2^2+3^2+2.4^2+5^2+2.6^2+.... is...

    Text Solution

    |

  8. If the sum of n terms of an A.P is cn (n-1)where c ne 0 then the sum o...

    Text Solution

    |

  9. The sum of all the products of the first n(+) ive integers taken two a...

    Text Solution

    |

  10. The value of the expression (1+1/omega)(1+1/omega^(2))+(2+1/omega)(2+...

    Text Solution

    |

  11. The value of the expression 2 (1 + omega) (1 + omega^(2)) + 3(2 omega ...

    Text Solution

    |

  12. The value of the expression 1.(2-omega).(2-omega^2)+2.(3-omega)(3-omeg...

    Text Solution

    |

  13. For and odd integer n ge 1, n^(3) - (n - 1)^(3) + …… + (- 1)^(n-1) ...

    Text Solution

    |

  14. The sum of the series (1)/(3.5) + (1)/(5.7) + (1)/(7.9)+…. ad infinity...

    Text Solution

    |

  15. If Sigma(r=1)^(n)t(r)=(1)/(6)n(n+1)(n+2), AA n ge 1, then the value o...

    Text Solution

    |

  16. The sum of the infinite series 1 + (1+a) x + (1 + a + a^(2)) x^(2) + (...

    Text Solution

    |

  17. Sum of the series 1 + 2 + 4 + 7 +…+ 67 is equal to

    Text Solution

    |

  18. 99^(th) term of the series 2 + 7 + 14 + 23 + 34 +…is

    Text Solution

    |

  19. Find the 50th term of the series 2+3+6+11+18+….

    Text Solution

    |

  20. Let P = 3^(1//3). 3^(2//9) . 3^(3//27)…oo, then P^(1//3) is equal to

    Text Solution

    |