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Find the missing term in the series.4,27,16,125,36, ____ ? 64,729
Question

Find the missing term in the series.
4,27,16,125,36, ____ ? 64,729

A.

121

B.

216

C.

343

D.

512

Correct option is C

Information Given:
Series: 4, 27, 16, 125, 36, ?, 64, 729
Logic: Two alternating series:
Even positions → cubes of odd numbers.
Odd positions → squares of even numbers.
Split the series into two parts.
Odd positions: 4, 16, 36, 64
= 2², 4², 6², 8²
Even positions: 27, 125, ?, 729
= 3³, 5³, 7³, 9³
Missing term = 7³ = 343.
Final Answer:
343
Final Correct Option:
(c) 343

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