Find the missing term:
$4, 25, 64, 121, 196, ?$

384

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256

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225

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289

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Solution

The correct option is D $289$
Option $D$ is the correct answer.
Explanation:
$3$ is added to each number and its square is written.
$2^{2} = 4 a n d 2 + 3 = 5 5^{2} = 25 a n d 5 + 3 = 8 8^{2} = 64 a n d 8 + 3 = 11 11^{2} = 121 a n d 11 + 3 = 14 14^{2} = 196 a n d 14 + 3 = 17$
Hence, next term is $17^{2} = 289.$

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