math

You have 2 floors, and there are 14 steps inbetween the two floors. you have a cat that can get to the top by either taking one step at a time or two steps. ( at one time going up the cat can take both one or two steps). How many possible combinations are there for the cat to get to the top?

asked by J
  1. Let f (n) - the number of options that a cat can pass through n steps. On the n - th step can proceed or (n - 1) - th, or (n - 2) - th. Number of options to pass n is the number of steps to pass the options n - 1 steps plus the number of options to pass n - 2 steps, that is f (n) = f (n - 1) + f (n - 2). It is obvious that f (1) = 1 and f (2) = 2. Thus f (n) is (n + 1) - th Fibonacci number.

    1,1,2,3,5,8,13,21,34,55,89,144,233,377,
    610<-- 15-th Fibonacci number

    posted by Mgraph

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    An elevator went up 8 floors, then down 6 floors, down 5floors, up to 10 floors down 2floors and up 9 floors. If it stopped on the 15th floors. On what floors did it starts?
  2. math

    An elevator starts out at the 1st floor. It goes up 4 floors, down 2 floors, up 5 floors, down 3 floors, up 2 floors and stops. What floor is it now on?
  3. Microeconomics

    As part of their chores on Saturday mornings, they have to clean the bathrooms and wash the floors of the house while their parents go grocery shopping. In one hour’s time, Mike can clean two bathrooms or wash six floors. Linda,
  4. Algebra Grade 7

    A cat likes to play on stairs. Starting at the bottom landing, the cat jumped up 4 steps, then down 2 steps. Then the cat jumped up 5 steps and fell down 3. In two more jumps of 4 steps and then 2 steps, the cat reached the top of
  5. algebra

    Tad was delivering lunch to a local office building. His first delivery was to the middle floor of the building. He then took th elevator up 4 floors for the next delivery, down 6 floors for his third delivery, and up 7 floors for
  6. equations

    you decide to ride ann elevator until it takes you to the ground floor withour pushing any buttons the elevator takes you up 4 floors down 6 floors up 1 floor down eight floors down 3 floors up 1 and then down six floors to ground
  7. Physics

    If the maximum speed of the elevator is 1.30 m/s and it takes a total of 3.00 s for the elevator to move between the floors, what is the distance between the floors if the time that the elevator is at its top speed is 2.52 s ?
  8. MATH

    I need help with this; There are 100 floors on a building. 50 are painted red and 50 and painted blue. The number of red floors on the top half plus the number of blue floors on the bottom half are equal to 56. How many red floors
  9. math

    Jammed is building a two story house in which the top floor is 12feet above the bottom floor the local building code specifies that the hight of a step cannot be above 7.5 inches what is the maximum height of a step in a staircase
  10. Algebra

    In the old days there were elevator operators to transport passengers. Don Downs always started his day in the basement. He went up 20 floors to take his boss some coffee. Then he went down 8 floors to take a donut to his friend.

More Similar Questions