In the following question, select the missing number from the given alternatives.
14, 22, 49, 113, 238, ?
The logic here is
$$22-14=8=2^3$$
$$49-22=27=3^3$$
$$113-49=64=4^3$$
$$238-113=125=5^3$$
The difference between numbers is cube of consecutive numbers. The next difference should be $$6^3=216$$
Let the required number = a
Similarly, a - 238 = 216
$$\Rightarrow$$Â a = 454
$$\therefore\ $$The required number = 454
Hence, the correct answer is Option C
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