Question

Find the missing term.

$6,24,60,120,210,336,?,720.$

• A. $496$
• B. $502$
• C. $504$
• D. $498$

Answer 1

The correct option is C $504$

First term $6=1\times 2\times 3$
Second term $24=2\times 3\times 4$
Third term $60=3\times 4\times 5$
Fourth term $120=4\times 5\times 6$
Similarly $210=5\times 6\times 7,336=6\times 7\times 8$, and the missing term $=7\times 8\times 9=504$ and $720=8\times 9\times 10$.

Hence the correct answer is option $C$.
Or
First term $6=2^3-2$
Second term $24=3^3-3$
Third term $60=4^3-4$
Fourth term $120=5^3-5$
Similarly $210=6^3-6,336=7^3-7$, and the missing term$=8^3-8=504$ and $720=9^3-9$.

Hence the correct answer is option $C$.