Is there a formula for when you want to multiply the product of an equation by the same factor over and over again?

So let's say i have one dollar and i bet it on a game with a quoata of 1.1.
I win, now i have $1.10.
Now i take the $1.10 and bet it again on a game with 1.1 quota.
Ect.

So an equation where one variable is the bet, one the quota, and one the amount of multiplications.
Like let's say i want to find out how much money i can make with 1 dollar by winning a certain number of bets, all with a 1.1 quota, always going all in with the previous winnings.