Question

A father complained that his son's allowance of $5 per week

was too much. The son replied, "Okay, Dad. How about this?
You give me a penny for the first day of the month, 2 cents for
the next, 4 cents for the next, 8 cents for the next, and so on for
every day of the month." The father readily consented. Who was
the more clever? What would the son's allowance be on day 31?

Answer 1

I won’t say the answer but here

Step-by-step explanation:

So do 8+8 then 16+16 and keep going

Answer 2

The son was more clever and on day 31, his allowance would be $10,737,418.24.

Step-by-step explanation:

The son was more clever in this situation.

Let's see how the son's allowance would be on day 31 using the given pattern:

On the first day, the son would receive 1 cent.

On the second day, he would receive 2 cents.

On the third day, he would receive 4 cents.

This pattern continues, doubling the amount each day, until day 31.

So, on day 31, the son would receive 2^(31-1) cents.

Using exponents, we have 2^30 cents, which is 1,073,741,824 cents.

To convert this to dollars, we divide by 100 because there are 100 cents in a dollar.

So therefore, the son's allowance on day 31 would be $10,737,418.24.