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Which of the following numbers will replace the question mark (?) in the given series? 9, 10, 18, 45, 109, ?
Question

Which of the following numbers will replace the question mark (?) in the given series?
9, 10, 18, 45, 109, ?

A.

327

B.

234

C.

198

D.

218

Correct option is B

Given series: 9, 10, 18, 45, 109, ?
Step 1: Find the differences between consecutive terms
10 – 9 = 1
18 – 10 = 8
45 – 18 = 27
109 – 45 = 64
The differences 1,8,27,64 appear to be cubes of consecutive numbers
Following this pattern, the next difference should be: 125
Add the next difference to the last term in the series:
109 + 125 = 234
Conclusion: The number that will replace the question mark is 234.

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