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​5, 25, 7, 49, 9, 81, 11, ?​
Question

5, 25, 7, 49, 9, 81, 11, ?

A.

64

B.

81

C.

121

D.

169

Correct option is C

Given series:

5,25,7,49,9,81,11, ?5, 25, 7, 49, 9, 81, 11, \ ?

Observing the positions:

1. Odd-positioned terms:

5,7,9,11,5, 7, 9, 11, \dots

2. Even-positioned terms:

25, 49, 81, ?

These are squares of the preceding odd-positioned terms:

52=255^2 = 25

72=497^2 = 49

92=819^2 = 81

112=12111^2 = 121​ (expected next term)

Step 2: Finding the Missing Term

Since the missing term is in the 8th position (even position), it should be the square of the preceding odd number (11):

112=12111^2 = 121

Final Answer:

121\boxed{121}

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