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What should come in place of '?' in the given series?12, 18, 30, 54, 102, ?
Question

What should come in place of '?' in the given series?
12, 18, 30, 54, 102, ?

A.

204

B.

198

C.

187

D.

190

Correct option is B

Given - 12, 18, 30, 54, 102, ?

Logic - the difference is double in each time
Identify the relationship between consecutive terms:
18 - 12 = 6
30 - 18 = 12
54 - 30 = 24
102 - 54 = 48
The differences between consecutive terms are:
6, 12, 24, 48
Check if there is a pattern in the differences:
12 ÷ 6 = 2
24 ÷ 12 = 2
48 ÷ 24 = 2
The differences are doubling each time. So, following this pattern, the next difference should be:
48 × 2 = 96

Add the difference to the last term:

102 + 96 = 198
Thus, the next term in the series is 198.

Answer:
B. 198

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