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Powers of 5 interleaved: determine the missing term. Sequence: 625, 5, 125, 25, 25, ?, 5 Recognize the pattern via exponents of 5 and fill in the blank.

Q: Powers of 5 interleaved: determine the missing term. Sequence: 625, 5, 125, 25, 25, ?, 5 Recognize the pattern via exponents of 5 and fill in the blank.

Rewrite in powers of 5 625 = 5⁴, 5 = 5¹, 125 = 5³, 25 = 5², 25 = 5², ? = 5³, 5 = 5¹. Pattern Exponents follow 4, 1, 3, 2, 2, 3, 1 (a mirrored/paired arrangement around 2). Missing term Therefore ? = 5³ = 125.

Difficulty: Easy

Correct Answer: 125

Explanation:

Rewrite in powers of 5
625 = 5⁴, 5 = 5¹, 125 = 5³, 25 = 5², 25 = 5², ? = 5³, 5 = 5¹.

Pattern
Exponents follow 4, 1, 3, 2, 2, 3, 1 (a mirrored/paired arrangement around 2).

Missing term
Therefore ? = 5³ = 125.

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Powers of 5 interleaved: determine the missing term. Sequence: 625, 5, 125, 25, 25, ?, 5 Recognize the pattern via exponents of 5 and fill in the blank.

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