Question

Find the next term of the sequence ?

$0,6,24,60,120,210,?$

Answer 1

In this sequence , number is subtracted from its cube.

$$\begin{gathered} 1^3-1=1-1=0 \\ {2}^3-2=8-2=6 \\ {3}^3-3=27-3=24 \\ {4}^3-4=64-4=60 \\ {5}^3-5=125-5=120 \\ {6}^3-6=216-6=210 \\ \mathrm{Similarly},7^3-7=343-7=336. \end{gathered}$$

Hence , $336$ is the next number of the sequence.