Question

1.

In a science lab, a cell is multiplying at a constant rate per second. The scientist recorded the cell's growth for the first five seconds. The data set was 2, 4, 16, 256, 65,536. Describe the growth pattern. How might knowing this pattern help the scientist to predict the cell's growth over a period of 10 seconds?

Answer 1

From the given data points, we can say that the second term is the square of the first term. Also, the third term is the square of the second term. This pattern goes on up to the last term given which is the square of the term prior. To predict the growth over a period of 10 seconds, we just have to square the growth over a period of 9 seconds.