Predict the next three numbers in the pattern. \( 25,5,1, \frac{1}{5}, \frac{1}{25}, \square, \square, \square \)

To find the next three numbers in the pattern \( 25, 5, 1, \frac{1}{5}, \frac{1}{25}, \square, \square, \square \), let's first analyze the sequence. 1. The first number is \( 25 \). 2. The second number is \( 5 \), which is \( 25 \div 5 \). 3. The third number is \( 1 \), which is \( 5 \div 5 \). 4. The fourth number is \( \frac{1}{5} \), which is \( 1 \div 5 \). 5. The fifth number is \( \frac{1}{25} \), which is \( \frac{1}{5} \div 5 \). From this, we can see that each number is obtained by dividing the previous number by \( 5 \). Continuing this pattern: - The sixth number will be \( \frac{1}{25} \div 5 = \frac{1}{125} \). - The seventh number will be \( \frac{1}{125} \div 5 = \frac{1}{625} \). - The eighth number will be \( \frac{1}{625} \div 5 = \frac{1}{3125} \). Thus, the next three numbers in the pattern are: \[ \frac{1}{125}, \frac{1}{625}, \frac{1}{3125} \]