Type the missing number in this sequence: 5, _____, 125, 625, 3,125, 15,625

Identify Pattern: Identify the pattern in the sequence. We notice that each number seems to be a multiple of the previous number. To confirm the pattern, we can divide each number by the previous one. 625 ÷ 125 = 5 3,125 ÷ 625 = 5 15,625 ÷ 3,125 = 5 This shows that each number is 5 times the previous number.Find Missing Number: Use the pattern to find the missing number. Since each number is 5 times the previous number, we can divide 125 by 5 to find the missing number. 125 ÷ 5 = 25Check Pattern: Check the pattern with the found number. To ensure that 25 is the correct missing number, we multiply it by 5 to see if we get the next number in the sequence, which is 125. 25 × 5 = 125 This confirms that 25 is the correct missing number in the sequence.

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Type the missing number in this sequence: $\newline$ $5$ , $\_$ , $125$ , $625$ , $3,125$ , $15,625$

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Precalculus

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Q. Type the missing number in this sequence:

\newline

5

\_

125

625

3,125

15,625

Identify Pattern: Identify the pattern in the sequence. $\newline$ We notice that each number seems to be a multiple of the previous number. To confirm the pattern, we can divide each number by the previous one. $\newline$ $625 \div 125 = 5$ $\newline$ $3,125 \div 625 = 5$ $\newline$ $15,625 \div 3,125 = 5$ $\newline$ This shows that each number is $5$ times the previous number.
Find Missing Number: Use the pattern to find the missing number. $\newline$ Since each number is $5$ times the previous number, we can divide $125$ by $5$ to find the missing number. $\newline$ $125 \div 5 = 25$
Check Pattern: Check the pattern with the found number. $\newline$ To ensure that $25$ is the correct missing number, we multiply it by $5$ to see if we get the next number in the sequence, which is $125$ . $\newline$ $25 \times 5 = 125$ $\newline$ This confirms that $25$ is the correct missing number in the sequence.