# Is there a faster way to calculate this?

• Let's say I wanted to add $4$ percent of $225$ to $225$ . I would get $234$.
• And then I wanted to add $4$ percent of $234$ to $234$. And so on and so on.
• Now let's say I wanted to do this $12$ times. Is there a faster way to do this other than iterating the whole procedure $12$ times ?.
• Would $225\left(\, 1.04\,\right)^{12}$ provide the right answer ?.

Any help would ve greatly appreciated.

• That's correct. – Elliot G Sep 5 '16 at 4:00
• Yes. 225 (1.04)^{12} is how to do it. – fleablood Sep 5 '16 at 4:00

Yes, $225(1.04)^{12}$ provides the right answer. I'm not sure it is faster for this problem depending on how you compute $1.04^{12}$, but the understanding of why it works is valuable for future problems.