Find the missing term in the given series.
0, 6, 24, 60, 120, 210, ?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 336
Each term is a cube minus its own base, \(n^3-n\), for \(n=1, 2, 3, \ldots\)
\(1^3-1=0\), \(2^3-2=6\), \(3^3-3=24\)
\(4^3-4=60\), \(5^3-5=120\), \(6^3-6=210\)
Next: \(7^3-7=343-7=336\)