Home
Class 11
MATHS
Sum to infinity 1^(2) + 2^(2) x+3^(2)x...

Sum to infinity
`1^(2) + 2^(2) x+3^(2)x^(2)+4^(2)x^(3)+.... X lt 1` numerically .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    ICSE|Exercise EXERCISE 14 (a) |13 Videos

  • SEQUENCE AND SERIES

    ICSE|Exercise EXERCISE 14 (b) |22 Videos

  • SELF ASSESSMENT PAPER 5

    ICSE|Exercise SECTION C|11 Videos

  • SEQUENCES AND SERIES

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS|34 Videos

Similar Questions

Explore conceptually related problems

Evaluate : 1^(2) + 2 ^(2) x + 3 ^(2) x ^(2) + 4 ^(2) x ^(3) …….. upto infinite terms for |x| lt 1.

Find the sum of the series 1+2^(2)x+3^(2)x^(2)+4^(2)x^(3)+"...."" upto "infty|x|lt1 .

Sum up to n terms the series 1+ 2x + 3x^(2) + 4x^(3) + ...

In the sum to infinity of the series 3+(3+x) (1)/(4) + (3+2x)(1)/(4^(2))+ ..... "is" (44)/(9) find x.

If the sum to infinity of the series 1 + 4x + 7x^2 + 10x^3 +............. is 35/16 then x= (A) 1/5 (B) 2/5 (C) 3/7 (D) 1/7

The sum of the series (1)/(1!)x+(2)/(2!)x^(2)+(3)/(3!)x^(3) ….. To infty is

Sum up the series (2)/(3) + (5)/(9) + (8)/(27)+(11)/(81) + ..... to n terms and hence find the sum to infinity . Sum up to infinity given that x lt numerically .

Find the sum to infinity of the series 1^2+2^2x+3^2x^2+oodot

Check the continuity of f(x) = {{:(x^(2)/2, if 0le x le 1),(2x^(2)-3x+3/2, if 1 lt x le 2):} at x = 1

Discuss continuity of f(x)= {{:(x^(2)/2, if 0le x le 1),(2x^(2)-3x+3/2, if 1 lt x le 2):} at x = 1

ICSE-SEQUENCE AND SERIES -CHAPTER TEST
  1. Sum to infinity 1^(2) + 2^(2) x+3^(2)x^(2)+4^(2)x^(3)+.... X lt 1 nu...

    Text Solution

    |

  2. Write down the first five terms of the sequence, whose nth term is (-1...

    Text Solution

    |

  3. If the 3rd and the 6th terms of an A.P. are 7 and 13 respectively, fin...

    Text Solution

    |

  4. Find the sum of all natural numbers between 100 and 1000 which are mul...

    Text Solution

    |

  5. How many terms of the A.P., -6,(-11)/(2),-5 ... are needed to give the...

    Text Solution

    |

  6. Determine the sum of the first 35 terms of an A.P. if a(2), = 2 and a(...

    Text Solution

    |

  7. If the first term of an A.P. is 2 and the sum of first five terms is e...

    Text Solution

    |

  8. Insert 3 arithmetic means between 2 and 10.

    Text Solution

    |

  9. Find 12th term of a G.P. whose 8th term is 192 and the common ratio is...

    Text Solution

    |

  10. The first term of a G.P. is 1. The sum of the third and fifth terms is...

    Text Solution

    |

  11. The sum of first three terms of a G.P. is (39)/(10) and their product ...

    Text Solution

    |

  12. The sum of some terms of a G.P. is 315 whose first term and the common...

    Text Solution

    |

  13. Find the sum of the series 0.6 +0.66 +0.666+ ... to the n terms

    Text Solution

    |

  14. The sum of an infinite series is 15 and the sum of the squares of thes...

    Text Solution

    |

  15. Insert three geometric means between 1 and 256.

    Text Solution

    |

  16. In the sum to infinity of the series 3+(3+x) (1)/(4) + (3+2x)(1)/(4^(2...

    Text Solution

    |

  17. Find the sum to n terms of the series 3.8 +6.11 +9.14 + ...

    Text Solution

    |

  18. Find the sum 5^(2)+ 6^(2) + 7^(2) + ... + 20^(2).

    Text Solution

    |

  19. If in a geometric progression consisting of positive terms, each term ...

    Text Solution

    |

  20. If the first term of an infinite G.P. is 1 and each term is twice the ...

    Text Solution

    |

  21. If fifth term of a G.P. is 2, then the product of its first 9 terms is

    Text Solution

    |