uestion etermine if the sequence below is arithmetic or geometric and determine the common tifference / ratio in simplest form. 125,25,5,ldots Answer Attemperout of? This is square sequence and the square is equal to square

## Step 1: Check for Arithmetic Sequence<br />### An arithmetic sequence has a constant difference between consecutive terms. The difference between 25 and 125 is $25 - 125 = -100$. The difference between 5 and 25 is $5 - 25 = -20$. Since the differences are not the same, this is not an arithmetic sequence.<br /><br />## Step 2: Check for Geometric Sequence<br />### A geometric sequence has a constant ratio between consecutive terms. The ratio between 25 and 125 is $\frac{25}{125} = \frac{1}{5}$. The ratio between 5 and 25 is $\frac{5}{25} = \frac{1}{5}$. Since the ratios are the same, this is a geometric sequence.<br /><br />## Step 3: Determine the Common Ratio<br />### The common ratio is the constant multiplier between consecutive terms, which we found to be $\frac{1}{5}$.