Friendly Fred is the world's best saleman , but when he starts to sell a
new product, sometimes he gets off to slowmstart. Recently he started selling the Groovy Grape Peeler. The first month he sold only two Groovy Grape Peelers,but the second month he did a bit better and sold eight. The third month he sold 32. If this pattern continues, how many will he sell the sixth month?
Hint make a chart and look for a pattern.
Thanks
2
8
32
What pattern do you see in those numbers?
It's multiplying by four each time. So..
1st Month: 2
2nd Month: 8
3rd Month: 32
4th Month: 128
5th Month: 512
6th Month: 2048
To find out how many Groovy Grape Peelers Fred will sell in the sixth month, we need to examine the pattern in his sales. Let's create a chart to visualize the sales growth:
Month 1: 2
Month 2: 8
Month 3: 32
Now, let's calculate the difference between successive months' sales:
Month 2 - Month 1: 8 - 2 = 6
Month 3 - Month 2: 32 - 8 = 24
We can observe that the difference between successive months' sales is increasing by a factor of 4 (24 / 6). If this pattern continues, we can predict the sales for the fourth and fifth months:
Month 4 - Month 3: 32 + (24 * 4) = 32 + 96 = 128
Month 5 - Month 4: 128 + (96 * 4) = 128 + 384 = 512
Finally, let's determine the sales for the sixth month:
Month 6 - Month 5: 512 + (384 * 4) = 512 + 1536 = 2048
According to this pattern, Friendly Fred will sell 2048 Groovy Grape Peelers in the sixth month.