The nth term of a sequence is given by the formula n^3 + 11n . Find the first four terms of the sequence given by this formula and the first term of the sequence which is bigger than one million. Prove that all terms of the sequence are divisible by 6.
Age 14 to 16 Short Challenge Level
If $a\times b=2$, $b\times c=24$, $c\times a=3$ and $a$, $b$ and $c$ are all positive, what is the value of $a+b+c$?
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
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embed rich mathematical tasks into everyday classroom practice.