“C” Totals Investigation.

Authors Avatar

“C” TOTALS INVESTIGATION

WHAT IS THE INVESTIGATION ABOUT?

In this investigation, I have tried to experiment using different grids but the same C shape.

WHAT IS THE PROBLEM?

I am going to start with a 9x9 grid with 81 counting numbers in it and write them down. I will then draw a as shown below in my mini diagram:

The bottom right number is going to be my C number (n) and the total of all the numbers in the C is going to be my C total, (I am going to call this “t”).

Finally, I am going to see if there is a relationship between “n” & “t”.

MY GRID…

Below I have drawn some random C’s, which I took from the table.

N=60

T=60+50+59+41+42=

        252

N=27

T=8+9+17+26+27=

        87

N=75

T=56+57+65+74+75=

        56

        57+

                           113

                         65+

Join now!

                           178

                           149+

                           327

N=22

T=3+4+12+21+22=

        62

From above I can see a pattern forming; the T numbers are ending in a 2 or a 7:

252, 87, 327, and 62.

Now I am going to draw some more C’s but this time by translating hem sideways in a logical way.

MY PREDICTION

I predict that the T numbers are going to go up in 5’s as I slide the C’s sideways because when the T numbers: 7 and 2 are both ...

This is a preview of the whole essay