Instructions

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

Question 141

5 6 16 57 ? 1245

Solution

The pattern is,
$$5\times1 + 1^{2} = 5 + 1 = 6$$.
$$6\times2 + 2^{2} = 12 + 4 = 16$$.
$$16\times3 + 3^{2} = 48 + 9 = 57$$.
$$57\times4 + 4^{2} = 228 + 16 = 244$$.
$$244\times5 + 5^{2} = 1220 + 25 = 1245$$.
Hence, Option A is correct.


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