Question

0, 5, 22, 57, 116--?​

Answer 1

Next number is 205.

If x = 1, then

= 1^3 - 2(1) + 1.

= 1 - 2 + 1 =0.

x = 2.

= 2^3 - 2(2) + 1.

= 8 - 4 + 1.

= 5.

Similarly x = 6, then

= 6^3 - 2(6) + 1 .

= 216 - 12 + 1.

= 205.

Therefore the series is 0, 5, 22, 57, 116, 205.

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