# A hot air balloon rises 90 feet in its first minute of flight. In each succeeding minute, it rises only 90% as far as it did during the preceding minute. What is the final height of the balloon?

Oct 26, 2016

${s}_{\infty} = \frac{a}{1 - r}$

${s}_{\infty} = \frac{90}{1 - \frac{9}{10}}$

${s}_{\infty} = \frac{90}{\frac{1}{10}}$

${s}_{\infty} = 900$

Hence, the final height is $900 \text{ feet}$.

Hopefully this helps!