Home
Class 12
MATHS
Find the sum of the following geometric ...

Find the sum of the following geometric series :
`1+(1)/(4)+(1)/(16)+(1)/(64) +…` to 10 terms

A

e

B

`e^(2)`

C

`sqrte`

D

`1//e`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2008

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2010

    WB JEE PREVIOUS YEAR PAPER|Exercise DESCRIPTIVE TYPE QEUSTIONS|10 Videos

Similar Questions

Explore conceptually related problems

Find the sum of the following geometric series : 3-9+27-81+… to 8 terms

Find the sum of each of the following infinite geometric series, if it exists : (1)/(16) + (1)/(12) + (1)/(9) + (4)/(27) +…oo

Find the sum of the following arithmetic series : 1+4+7+10+13+…. to 20 terms

Find the sum of the following series : 1+3+6+10+15+… to n terms.

Find the sum of the infinte series (1)/(9)+(1)/(18)+(1)/(30)+(1)/(45)+(1)/(63)+…

Find the sum to n terms of each of the following series : (1)/(1.4) + (1)/(4.7) + (1)/(7.10)+…

Find the sum of each of the following infinite geometric series, if it exists : 1 + (1)/(3) + (1)/(9) + (1)/(27) +…oo

Find the sum of each of the following infinite geometric series, if it exists : (1)/(2) + (3)/(4) + (9)/(8) + (27)/(16) +…oo

Find the sum to n terms of each of the following series : (1)/(1.3) + (1)/(3.5) + (1)/(5.7) +…

Find the sum to n terms of the following series : (1) + (1+3) + (1+3+3^(2)) +…

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2009-MULTIPLE CHOICE QUESTIONS
  1. If C is a point on the line segment joining A (-3, 4) and B (2, 1) suc...

    Text Solution

    |

  2. If a, b, c are real, then both the roots of the equation (x -b )(x -c)...

    Text Solution

    |

  3. Find the sum of the following geometric series : 1+(1)/(4)+(1)/(16)+...

    Text Solution

    |

  4. A(-2,7),B(7,15),C(-1,-5)andD(h,k) are the vertices of a parallelogram...

    Text Solution

    |

  5. The domain of definition of the function f(x)=sqrt(1+log(e)(1-x)) is

    Text Solution

    |

  6. The value of ["tan"^(-1)(m)/(n)-tan^(-1)((m-n)/(m+n))] is -

    Text Solution

    |

  7. lim(xto2)(sin(e^(x-2)-1))/(log(x-1))

    Text Solution

    |

  8. Let f(x)=(sqrt(x+3))/(x+1) then the value of Lt(xto-3-0)f(x) is

    Text Solution

    |

  9. f(x)=x+|x| is continuous for

    Text Solution

    |

  10. prove that tan((pi)/(4)+(1)/(2) cos ^(-1)""(a) /(b) )+tan ((pi)/(4) ...

    Text Solution

    |

  11. If i=sqrt-1 and n is a positive integer, then i^(n)+i^(n+1)+i^(n+3 is ...

    Text Solution

    |

  12. int(dx)/(x(x+1)) equals

    Text Solution

    |

  13. If x is a positive real number different from 1 such that log(a)^(x),l...

    Text Solution

    |

  14. A line through the point A (2,0) which makes an angle of 30^(@) with t...

    Text Solution

    |

  15. The equation sqrt3sinx+cosx=4 has

    Text Solution

    |

  16. The slope at any point of a curve y=f(x) is given by (dy)/(dx)=3x^(2) ...

    Text Solution

    |

  17. The modulus of (1-i)/(3+i)+(4i)/(5) is

    Text Solution

    |

  18. The equation of the tangent to the conic x^(2)-y^(2)-8x+2y+11=0 at (2,...

    Text Solution

    |

  19. A and B are two independent events such that P(AuuB')=0.8, and P(A)=0....

    Text Solution

    |

  20. The total number of tangents through the point (3,5) that can be drawn...

    Text Solution

    |