Home
Class 11
MATHS
Find the sum of the series 1^2+3^2+5^2+ ...

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

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|9 Videos

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

Find the sum of the series 1-3x+5x^2-7x^3+ ton terms.

Find the sum of the series 1^2-2^2+3^2-4^2+\ldots-{2008}^2+{2009}^2

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 of the following series up to n terms: 1^3/1+(1^3+2^3)/(1+3)+(1^3+2^3+3^3)/(1+3+5)+.......

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

Find the sum of the series upto n terms ((2n+1)/(2n-1))+3((2n+1)/(2n-1))^2+5((2n+1)/(2n-1))^3+.....

Find the sum of the series, (1^(2))/(3)+(1^(2)+2^(2))/(5)+(1^(2)+2^(2)+3^(2))/(7)+.. upto n th term.

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-......

Find the sum of the series 1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+1/(6^2+4)+oo

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

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. If a, b and c are in G.P. then prove that <math xmlns="http://www.w3...

    Text Solution

    |

  2. Find the value of (32).(32)^(1//6).(32)^(1//36) ......... oo.

    Text Solution

    |

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

    Text Solution

    |

  4. If S=1/(1xx3xx5)+1/(3xx5xx7)+1/(5xx7xx9)+ddot to infinity, then find t...

    Text Solution

    |

  5. If the sum of the roots of the quadratic equation a x^2+b x+c=0 is equ...

    Text Solution

    |

  6. Let Tr denote the rth term of a G.P. for r=1,2,3, If for some positive...

    Text Solution

    |

  7. Prove that (b^2+c^2)/(b+c)+(c^2+a^2)/(c+a)+(a^2+b^2)/(a+b)> a+b+c

    Text Solution

    |

  8. If y z+z x+x y=12 , and x , y , z are positive values, find the great...

    Text Solution

    |

  9. If S=a1+a2+......+an,ai in R^+ for i=1 to n, then prove that S/(S-a1)...

    Text Solution

    |

  10. If m >1,n in N show that 1^m+2^m+2^(2m)+2^(3m)+...+2^(n m-m)> n^(1-m)...

    Text Solution

    |

  11. If a ,b >0 such that a^3+b^3=2, then show that a+blt=2.

    Text Solution

    |

  12. Prove that 2^n >1+nsqrt(2^(n-1)),AAn >2 where n is a positive integer.

    Text Solution

    |

  13. In a triangle A B C prove that a/(a+c)+b/(c+a)+c/(a+b)<2

    Text Solution

    |

  14. Find the least value of secA+secB+secC in an acute angled triangle.

    Text Solution

    |

  15. Prove that [(n+1)//2]^n >(n !)dot

    Text Solution

    |

  16. If a1+a2+a3+......+an=1 AA ai > 0, i=1,2,3,......,n, then find the ma...

    Text Solution

    |

  17. If a ,b ,c are positive, then prove that a//(b+c)+b//(c+a)+c//(a+b)geq...

    Text Solution

    |

  18. If (log)(10)(x^3+y^3)-(log)(10)(x^2+y^2-x y)lt=2, and x ,y are positiv...

    Text Solution

    |

  19. If log2(a+b)+log2(c+d)ge4 . Then the minimum value of the expression a...

    Text Solution

    |

  20. If a+b+c=1, then prove that 8/(27a b c)>{1/a-1}{1/b-1}{1/c-1}> 8.

    Text Solution

    |