for 30 days on the 1st daY I GET A PENNY THAN ON IT DUOBLES EVERY DAY UNTIL DAY 30
HOW MUCH PENNIES DO I HAVE ON DAY30
just take a look at the number of pennies on day #n
n #
1 1
2 2
3 4
4 8
...
n 2^(n-1)
so, on day 30 you have 2^29 pennies
That's about $5.4 million. You could retire and spend the rest of your life counting them!
1000000000
To determine the number of pennies you have on day 30, you can use exponential growth based on the doubling of your pennies each day.
On the first day, you start with 1 penny. The next day, you double that amount, so you have 1 * 2 = 2 pennies. On the third day, you again double the previous day's amount, so you have 2 * 2 = 4 pennies. This doubling process continues for each subsequent day.
In general, to find the number of pennies on day N, you can use the formula:
Number of pennies on day N = 2^(N-1)
Plugging in N = 30, we have:
Number of pennies on day 30 = 2^(30-1) = 2^29
Calculating this value, we find that on day 30, you will have 536,870,912 pennies.