5/8 inches longer since 8/8 - 3/8 = 5/8
Answer:
21 1/3 inches
Step-by-step explanation:
Inverse variation means that when the frequency goes up by a factor of 576/256 = 9/4, the length of the string goes down by a factor that is the inverse of that, 4/9.
4/9·48 inches = 21 1/3 inches

This is a geometric series with a common ratio between successive terms that is less than 1 in absolute value. This means the series will converge. The value of the sum is

.