How do you find the sum of the infinite geometric series 32. 30 + 22.5 + 16.875 + . . . ?

Jan 10, 2016

The common ratio $r = \frac{22.5}{30} = \frac{3}{4}$

Explanation:

Formula for infinite sum ...

${S}_{\infty} = {a}_{1} / \left(1 - r\right)$

${S}_{\infty} = \frac{30}{1 - \frac{3}{4}} = 120$

hope that helped