Question

The missing number in the series :

0, 6, 24, 60, 120, ?, 336, is
(A) 240 (B) 220 (C) 280 (D) 210

Answer 1

`0;\ 6;\ 24;\ 60;\ 120;\ ?;\ 336\\\\a_1=0\\a_2=6\\a_3=24\\a_4=60\\a_5=120\\a_6=?\\a_7=336\\\\a_n=n^3-n`



`a_1=1^3-1=1-1=0\\a_2=2^3-2=8-2=6\\a_3=3^3-3=27-3=24\\a_4=4^3-4=64-4=60\\a_5=5^3-5=125-5=120\\a_6=6^3-6=216-6=210\\a_7=7^3-7=343-7=336\\\\Answer:\\?=210`