Instructions

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

Question 97

4, 5, 14, 51, ?

Solution

The terms given above are part of the below series

$$5 = 4*1 + 1^2$$
$$14 = 5*2 + 2^2$$
$$51 = 14*3 + 3^2$$
$$220 = 51*4 + 4^2$$

Hence, the missing term is equal to $$220$$

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