Instructions

What should come in place of the question mark (?) in the following number series ?

Question 174

3, 4, ?, 21, 85, 110, 326

Solution

The sequence here is obtained by adding $$+1,+8,+9,+64,+25$$ I.e $$1^{2}, 2^{3}, 3^{2}, 4^{3}, 5^{2},etc.,$$

Thus, the required number is $$ 4+ 2^{3} = 12$$.

Option C is the right answer.

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