Find the nth term for the sequence 3,12,27,48,75......
look for a pattern
3,12,27,48,75......
= 3(1,4,9,16,25, ...
= 3(1^2, 2^2, 3^2, ....
looks like we have a sequence of perfect squares
term(n) = 3n^2
3,12,27,48,75......
= 3(1,4,9,16,25, ...
= 3(1^2, 2^2, 3^2, ....
looks like we have a sequence of perfect squares
term(n) = 3n^2