# What is the next number in the series 0 3 14 39 84 155?

Can you please explain how you got the answer too?

- Asked By yuio64
- Asked on February 3, 2011

Can you please explain how you got the answer too?

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## Answers

258 is the next number, I think. It’s a sequence, the formula of which is for any number ‘n’, (n-1)

^{3}+(n-1)^{2}+(n-1).So we put in 1 to find the first term:

(1-1)

^{3}+(1-1)^{2}+(1-1) = 0+0+0 = 0 = the first term.Then we put 2 in to find the second term:

(2-1)

^{3}+(2-1)^{2}+(2-1)= 1 + 1 + 1 = 33 in the find the third term:

(3-1)

^{3}+(3-1)^{2}+(3-1) = 8 + 4 + 2 = 14So far we have 0,3, and 14. Now, to find the 7th term, we put in:

(7-1)

^{3}+(7-1)^{2}+(7-1) = 216 + 36 + 6 = 258.So we have, 0, 3, 14, 39, 84, 155, 258.