An infinite geometric series has common ratio 1/8 and sum 60. What is the first term of the series?
Let the first term be a. Because the sum of the series is 60, we have
\(60= \frac{a}{1-(1/8)} = \frac{a}{7/8} = \frac{8a}{7}.\)
Therefore, \(a=\frac{7}{8}\cdot60=\boxed{\frac{105}{2}}\).
