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Find the missing term in the following number series : 4, 9, 25, 49, 121, ______.
Question

Find the missing term in the following number series :
4, 9, 25, 49, 121, ______.

A.

225

B.

144

C.

196

D.

169

Correct option is D

Given Series: 4, 9, 25, 49, 121, ______
Let's analyze the pattern of the series:
4 = 2²
9 = 3²
25 = 5²
49 = 7²
121 = 11²
logic = The numbers are squares of consecutive prime numbers:
2, 3, 5, 7, 11, ...
The next prime number after 11 is 13, so the next term will be:
13² = 169
Final Answer: 169
Final Correct Option: (D) 169

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