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Question

Find the next element that replace the ? Logically

10, 21, 54, 153, ?

The correct answer is

450

Test a multiply-and-subtract rule on 10, 21, 54, 153.

10 x 3 - 9 = 21; 21 x 3 - 9 = 54; 54 x 3 - 9 = 153.

The consistent rule is: multiply the term by 3 and subtract 9.

Applying it to 153 gives 153 x 3 - 9 = 459 - 9 = 450.

Hence the missing element is 450.

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