Looking for nth term rule for pattern 5, 16, 48, 149.
This is the output from a cubic equation, which is of the form
y(x) = -33 + (135/2)x - (75/2)x^2 + 8x^3
and
y(1) = 5, y(2) = 16, y(3) = 48, y(4) = 149
The nth term is given by,
tn = -33 + (135/2)n - (75/2)n^2 + 8n^3