To find the common ratio of an exponentially decreasing sequence, we divide any term by the previous term. 
For the given sequence 750, 600, 480, ...

1. Calculate the ratio between the second term and the first term:
   \[\frac { 600} { 750} = \frac { 4} { 5} \]
2. Calculate the ratio between the third term and the second term:
   \[\frac { 480} { 600} = \frac { 4} { 5} \]
   Since both ratios are the same, the common ratio for this sequence is \(\frac { 4} { 5} \).

Supplemental Knowledge

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. The general form of a geometric sequence can be written as:
\[a, ar, ar^ 2, ar^ 3, \ldots \]
where \(a\) is the first term and \(r\) is the common ratio.
To find the common ratio in a geometric sequence, you can divide any term by its preceding term. This ratio remains constant throughout the sequence.

Real-Life Connections

Consider an investment scenario where you invest $750 in a fund that decreases in value by 20% each year. After one year, your investment would be worth $600 (80% of $750), and after two years, it would be worth$480 (80% of $600). This decrease follows a geometric sequence with a common ratio of 0.8 (or 4/5).

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