Home
Class 14
MATHS
The sum of n terms of the series 1^2 ...

The sum of n terms of the series
`1^2 + (1^2 + 3^2) + (1^2 + 3^2 + 5^2) + …` is :

A

`1/3 (n^3 + n^2 + 1)`

B

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

C

`1/3 (2n^2 + 2n -1)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE, SERIES & PROGRESSIONS

    ARIHANT SSC|Exercise Final Round|18 Videos
  • SEQUENCE, SERIES & PROGRESSIONS

    ARIHANT SSC|Exercise EXERCISE LEVEL-1|43 Videos
  • RATIO, PROPORTION & VARIATION

    ARIHANT SSC|Exercise FINAL ROUND|16 Videos
  • SET THEORY

    ARIHANT SSC|Exercise EXERCISE - 15 (LEVEL -1)|29 Videos

Similar Questions

Explore conceptually related problems

The sum to n term of the series 1(1!)+2(2!)+3(3!)+

The sum to n term of the series 1(1!)+2(2!)+3(3!)+

The sum to n term of the series 1(1!)+2(2!)+3(3!)+...

ARIHANT SSC-SEQUENCE, SERIES & PROGRESSIONS-EXERCISE LEVEL-2
  1. An A.P. whose first term is unity and in which the sum of the first ha...

    Text Solution

    |

  2. If 30% of (A+B) = 50% of (A-B), then what percent of B is A?

    Text Solution

    |

  3. The sum of n terms of the series 1^2 + (1^2 + 3^2) + (1^2 + 3^2 + 5...

    Text Solution

    |

  4. If |a| lt 1 and |b| lt 1 , then the sum of the series a(a+b) + a^2...

    Text Solution

    |

  5. The sum of n terms of the series 3/(1^2 * 2^2) + (5)/(2^2 * 3^2) + ...

    Text Solution

    |

  6. The natural numbers are written as follows : The sum of numbers...

    Text Solution

    |

  7. If a = underset(55 "times")underbrace(111.....1), b= 1+10+10^(2)+10^(3...

    Text Solution

    |

  8. The interior angles of a polygon are in A.P. If the smallest angle is ...

    Text Solution

    |

  9. If M is the mid point of the side BC of triangle ABC, and the area of ...

    Text Solution

    |

  10. The value of 0.1bar(23) is :

    Text Solution

    |

  11. A milk vendor has 21 lt of cow milk, 42 lt of toned milk and 63 lt of ...

    Text Solution

    |

  12. One side of an equilateral triangle is 24 cm. The midpoints of its sid...

    Text Solution

    |

  13. The odd positive integers are arranged in a traingle as follows : ...

    Text Solution

    |

  14. Find the sum to n terms of the series log a+ log"" (a^3)/(b) + log ...

    Text Solution

    |

  15. The value of 0. 2^(logsqrt(5)1/4+1/8+1/(16)+) is 4 b. log4 c. log2 d....

    Text Solution

    |

  16. The ages of Samir and Tanuj are in the ratio of 8:15. After 9years the...

    Text Solution

    |

  17. The radius of a circle is twice the side of a square, whose area is 19...

    Text Solution

    |

  18. Find the sum of the series (5)/(13)+(55)/(13)^2+(555)/(13)^2+(5555)/((...

    Text Solution

    |

  19. Sum of infinite series 1/(1*4)+1/(4*7)+1/(7*10)+......oo is

    Text Solution

    |

  20. A sequence of real numbers a(1), a(2), a(3),......a(n+1) is such that ...

    Text Solution

    |