Type the missing number in this sequence: 5, 25, _____, 625, 3,125, 15,625

Identify Pattern: We observe the given sequence to identify a pattern: 5, 25, _____, 625, 3,125, 15,625. By looking at the numbers, we can see that each number is a multiple of the previous one. To confirm the pattern, we can divide each number by the one before it.Confirm Multiples: Divide 25 by 5 to see if the pattern is consistent: 25 ÷ 5 = 5. This indicates that each number might be 5 times the previous number.Find Missing Number: Now, divide 625 by the number before it in the sequence (which we are trying to find) to see if the pattern holds: 625 ÷ _____ = 5. To find the missing number, we need to perform the inverse operation, which is multiplication: _____ × 5 = 625.Perform Division: To find the missing number, we divide 625 by 5: 625 ÷ 5 = 125. This should be the missing number in the sequence if the pattern is consistent.Check Solution: To check if 125 fits the pattern, we multiply it by 5 to see if we get the next number in the sequence, which is 3,125: 125 × 5 = 625. This is incorrect, as we expected to get 3,125, not 625. We have made a math error.

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Type the missing number in this sequence: $\newline$ $5$ , $25$ , $\_$ , $625$ , $3,125$ , $15,625$

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Q. Type the missing number in this sequence:

\newline

5

25

\_

625

3,125

15,625

Identify Pattern: We observe the given sequence to identify a pattern: 5, 25, _____, 625, 3,125, 15,625. By looking at the numbers, we can see that each number is a multiple of the previous one. To confirm the pattern, we can divide each number by the one before it.
Confirm Multiples: Divide $25$ by $5$ to see if the pattern is consistent: $25 \div 5 = 5$ . This indicates that each number might be $5$ times the previous number.
Find Missing Number: Now, divide $625$ by the number before it in the sequence (which we are trying to find) to see if the pattern holds: $625 \div \_\_\_\_\_ = 5$ . To find the missing number, we need to perform the inverse operation, which is multiplication: $\_\_\_\_\_ \times 5 = 625$ .
Perform Division: To find the missing number, we divide $625$ by $5$ : $625 \div 5 = 125$ . This should be the missing number in the sequence if the pattern is consistent.
Check Solution: To check if $125$ fits the pattern, we multiply it by $5$ to see if we get the next number in the sequence, which is $3,125$ : $125 \times 5 = 625$ . This is incorrect, as we expected to get $3,125$ , not $625$ . We have made a math error.