In Need of a Mathmetician!!!!

An ant of negligible dimensions start at the origin (0,0) of the standard 2-dimensional rectangular coordinate system. The ant walks one unit right, then one-half unit up, then one-quarter unit left, then one-eighth unit down, etc. In each move, it always turn counter-clockwise at a 90 degree angle and goes half the distance it went on the previous move. Which point (x,y) in the xy-plane in the ant approaching in its spiraling journey?

Answer:
(4/5 , 2/5)

How do you get this answer? I'd really appreciate it if you explain me how to get that answer!

Thanks

  1. 👍 0
  2. 👎 0
  3. 👁 76
  1. Hint: Write the formula for its movements in the x direction only.

    Also write the formula for its movements in the y direction.

    Both of your equations will have limits.

    Your coordinate solution will be the limits as the ant moves an infinite number of times.

    1. 👍 0
    2. 👎 0
    posted by Leo
  2. Can you please explain how to do this question thoroughly? I don't know what you're talking about...

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    posted by rfvv Wednesday, April 11, 2018 at 6:11pm 1. A dot is one-dimensional. 2. A surface is two-dimensional. 3. A cube is three-dimensional. 4. At is one-dimension. 5. At is the first dimension. 6. On is two-dimensions. 7. On

    asked by rfvv on April 16, 2018
  2. Math (please help steve)

    Brilli the ant is considering the complexities of a 5-dimensional universe. She wants to count the number of integer points that are distance n√ away from the origin. Let Tn be the set of ordered 5-tuples of integers

    asked by Danny on July 16, 2013
  3. math

    Brilli the ant is considering the complexities of a 5-dimensional universe. She wants to count the number of integer points that are distance sqrt(n) away from the origin. Let Tn be the set of ordered 5-tuples of integers

    asked by andy on July 17, 2013
  4. mathsssssssssssssssssssssssssssssssssssss

    Brilli the ant is considering the complexities of a 5-dimensional universe. She wants to count the number of integer points that are distance n√ away from the origin. Let Tn be the set of ordered 5-tuples of integers

    asked by kunaldeep on July 17, 2013
  5. quick algebra question

    When asked what quadrant the coordinate (0,0) is in, should I put None or Origin as my answer? It is by definition the origin. It is not in any of the four quadrants. I would put "origin." Orgin would get my vote too. I think in

    asked by Anonymous on September 4, 2006
  6. physics

    1.The potiential energy of a particle varies with distance x from a fixed origin as v=A√x/x+B where A and B are constants.Find the dimensions of AB. 2.The refractive index of a material is given by the equation ʯ=A+B/ʎsquare

    asked by help me out it's urgent on July 30, 2012
  7. algebra

    Find the missing dimension for each three-dimensional figure to the nearest tenth, given the volume and other dimensions. rectangular pyramid, t=8m, w=4.6m, V=88m cubed

    asked by Anonymous on February 8, 2010
  8. English

    1. A dot is one-dimensional. 2. A surface is two-dimensional. 3. A cube is three-dimensional. 4. At is one-dimension. 5. At is the first dimension. 6. On is two-dimensions. 7. On is the second dimension. 8. On is two dimensions.

    asked by rfvv on April 11, 2018
  9. physics

    A fly lands on one wall of a room. The lower left-hand corner of the wall is selected as the origin of a two-dimensional Cartesian coordinate system. The fly is located at the ...

    asked by Anonymous on January 24, 2010
  10. Math

    Inside a triangle formed by the line 3x+4y=1 and the positive coordinate axis, inscribe a square with three of the vertices on the coordinate axes and one vertex on the line. 1) Find the length of a side of the square. In the

    asked by Mike on November 29, 2017

More Similar Questions