Infinite fractions!

MY REPORT ON SEQUENCES.

We were given a test paper on Infinite sequnces (Gordon said we were going to have a test paper given to us, Yishi butted in saying it wasn't, just to see your weaknesses in sequences and what you can learn today). The first question was to be worked on in toontalk. The first question was:

               1. Give an example of a sequence that goes on and on, getting smaller and smaller but never going bellow zero. (We call this your gets-smaller sequence)

  I wrote:

            100, 81, 64, 49, 36, 25, 16, 9, 4, 1, 1, 4, 9.........

What I had written was square numbers going down, then when getting to -1, goes up again (-1 x -1). But the difference between them  is not simillar so I couldn't use it in the first activity.

I reported my problem to Ken who said to think up another. His hint was 'Fractions' which I got the idea of a sequence which consists of numbers with the rule: multiple a 1/2 to the fracton(term) to make it smaller. So guess what? I did!

But what Yishi, Gordon and Ken wanted was a graph to show the sequence getting smaller and smaller. The problem was, the width of the bar was NARROW and the fractions were way small, barely seen on the graph. So I widened the bars in Ken's programing box to control the graph. Also I made fractions bigger, first by increasing the fractions by a thousand, which didn't work well, then increasing it by a ten thousand.

     My graph ended up to be like this:

The first term in the sequence was 1/9 but that didn't come onto the graph as it was times by a half , making it one eighteenth, and was given to the bird.

I had a robot which got a fraction, which I choose, and multiple by a half, which was then given to a bird, ethier to plot onto the graph or to put it in to a nest to explore. These are what I used to make these sequences: