I have absolutely no clue if any of the terms I used in the title actually exist or make sense. I'm usually good at math (relatively) but I am facing this problem today that I just cannot solve.
John likes apples. He goes to the store and buys an apple for $10.00. The next day he goes to the store again, but surprisingly finds out that an apple now costs $11.00. On the third day John has paid $12.10 for an apple. How much would John have to pay on day 51?
So I guess each subsequent day the price goes up by 10% but how can I calculate that progressive incrementation at day 51? Yeah of course I can sit down with the calculator and add that 50 times, but I guess there must be an actual mathematical solution. Thanks in advance!
On day $51$, he pays $10\times (\frac{11}{10})^{50}$ dollars.