Thread: Functions and Relations

In an old story, a king asked a peasant to come and work for him. They both agreed that the job to be done could be completed in a month (30 days). The peasant asked the king if he could be paid in the following way: "On the first day that I work, I would like to be paid one penny. Each day that I work, I would like you to double my income." The king thought this was a great deal and happily agreed.

Analyze the deal that the king and the peasant made to determine whether or not the peasant made a good deal with the king.

Now I know that you use the formula tn=ar^n-1 but im not exactly sure how.

Originally Posted by VDestinV

In an old story, a king asked a peasant to come and work for him. They both agreed that the job to be done could be completed in a month (30 days). The peasant asked the king if he could be paid in the following way: "On the first day that I work, I would like to be paid one penny. Each day that I work, I would like you to double my income." The king thought this was a great deal and happily agreed.

Analyze the deal that the king and the peasant made to determine whether or not the peasant made a good deal with the king.

Now I know that you use the formula tn=ar^n-1 but im not exactly sure how.

Lets write this out so...



The sum of the series will be



or in dollars

$ a little over ten million

The king made a bad choice

Actually I'm wrong that is for 31 days of labor.

The sum should only go to 29 and should be

536870912 cents or

$ 5,368,709.12 about 5 million dollars.

Good luck.