Question

Find the nth term of this quadratic sequence
2, 8, 18, 32, 50,

Answer 1

Explanation:

From the series, 2, 8, 18, 32, 50,...

By observation and by trial and error.

The first term, n = 1 = 2*1*1 = 2

Second term, n =2, = 2*2*2 = 8

Third, n =3, = 2*3*3 = 18

Third term, n = 4, = 2*4*4 = 32

Fourth term, n =5, 2 * 5* 5 = 50

For nth term, 2 *n *n = 2n²

Therefore nth term = 2n²

I hope this helps.