The first 5 outputs are:
As you can see, the outputs keep doubling each time we increment x by 1.
This can be written formally, observing that if you know the value of , the next value will be
So, again, we've shown that the next value is twice the previous one, so you have
Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches.
<u>a.</u>
As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find <u>GCF(greatest common factor) of 60, 48 and 72. </u>
First we will factor out all three numbers completely......
The common factors are: 2, 2 and 3
Thus the GCF
So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.
<u>b. </u>
For finding the number of pieces for each color cloth, we will just <u>divide the length of each cloth by 12</u>. So...
Number of pieces for blue cloth
Number of pieces for gold cloth and
Number of pieces for white cloth