Double Your Pay: How Much Will You Earn on the Third Lawn Mowing Job?

To determine the amount of money you should expect to make on the third job, we can use the formula for the sum of a geometric series:

S = a * (1 - r^n) / (1 - r)

Where: S = sum of the geometric series a = first term of the series r = common ratio n = number of terms

In this case, the first term (a) is 1 penny (0.01 dollars) and the common ratio (r) is 2 (as the pay doubles each time). We want to find the sum after completing 3 jobs, so n = 3.

Plugging these values into the formula:

S = 0.01 * (1 - 2^3) / (1 - 2) S = 0.01 * (1 - 8) / (1 - 2) S = 0.01 * (-7) / (-1) S = 0.01 * 7 S = 0.07

Therefore, you should expect to make 0.07 dollars (or 7 cents) on the third job.