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Select the number from among the given options that can replace the question mark (?) in the following series.10, 18, 42, 114, 330, ?
Question

Select the number from among the given options that can replace the question mark (?) in the following series.
10, 18, 42, 114, 330, ?

A.

978

B.

876

C.

678

D.

545

Correct option is A

Given: ​10, 18, 42, 114, 330, ?
Logic: Multiply the difference between the two terms by 3 to get the difference between the next two terms.
Explanation:
10 + 8 = 18
18 + (8 ×\times 3) = 18 + 24 = 42
42 + (24 ×\times 3) = 42 + 72 = 114
114 + (72 ×\times 3) = 114 + 216 = 330
Similarly, 330 + (216 ×\times 3) = 330 + 648 = 978
So, the missing term is 978.
Thus, the correct answer is (a).

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