What Comes Next in the Sequence: 3, 14, 39, 84, 155, ???

Can you see a pattern in the series below?


What comes next in the sequence?

3, 14, 39, 84, 155, ???

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Answer:

The pattern that is followed in this riddle is as follows;


1^3  + 1^2 + 1 = 1 + 1 + 1 = 3

2^3 + 2^2 + 2 = 8 + 4 + 2 = 14

3^3 + 3^2 + 3 = 27 + 9 + 3 = 39

4^3 + 4^2 + 4 = 64 + 16 + 4 = 84

5^3 + 5^2 + 5 = 125 + 25 + 5 = 155

Therefore the next number will be;

6^3 + 6^2 + 6 = 216 + 36 + 6 = 258

Answer = 258

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