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

Observe pattern in sequence: We observe the pattern in the sequence to determine the rule that generates it. Each number appears to be multiplied by 5 to get the next number.Check pattern by multiplying: We check the pattern by multiplying the first number by 5: 5 × 5 = 25, which matches the second number in the sequence.Apply rule to find missing number: We continue to check the pattern by multiplying the second number by 5: 25 × 5 = 125, which matches the third number in the sequence.Calculate missing number: Now, we apply the same rule to find the missing number by multiplying the third number by 5: 125 × 5.Verify pattern consistency: We calculate 125 × 5 = 625. This should be the missing number in the sequence.Confirm pattern correctness: To ensure the pattern is correct, we check the next number by multiplying the missing number we found by 5: 625 × 5 = 3,125, which matches the next number in the sequence.Finally, we verify the last given number by multiplying 3,125 by 5: 3,125 × 5 = 15,625, which confirms the pattern is consistent and correct.

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

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Precalculus

Find terms of a sequence

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Q. Type the missing number in this sequence:

\newline

5,\; 25,\; 125,\; \_,\; 3,125,\; 15,625

Observe pattern in sequence: We observe the pattern in the sequence to determine the rule that generates it. Each number appears to be multiplied by $5$ to get the next number.
Check pattern by multiplying: We check the pattern by multiplying the first number by $5$ : $5 \times 5 = 25$ , which matches the second number in the sequence.
Apply rule to find missing number: We continue to check the pattern by multiplying the second number by $5$ : $25 \times 5 = 125$ , which matches the third number in the sequence.
Calculate missing number: Now, we apply the same rule to find the missing number by multiplying the third number by $5$ : $125 \times 5$ .
Verify pattern consistency: We calculate $125 \times 5 = 625$ . This should be the missing number in the sequence.
Confirm pattern correctness: To ensure the pattern is correct, we check the next number by multiplying the missing number we found by $5$ : $625 \times 5 = 3,125$ , which matches the next number in the sequence.
Confirm pattern correctness: To ensure the pattern is correct, we check the next number by multiplying the missing number we found by $5$ : $625 \times 5 = 3,125$ , which matches the next number in the sequence.Finally, we verify the last given number by multiplying $3,125$ by $5$ : $3,125 \times 5 = 15,625$ , which confirms the pattern is consistent and correct.