What is the nth term of this sequence: 2,8,18,32?

Question

I think its 2n squared but i need help becuase im not sure ( exmplain clearly if you could please)

Answer 1

Yes, you are correct, it is :

2 * n^2. (n=1,2,3,.....)

n=1: 2 * 1^2 = 2 * 2 = 2
n=2: 2 * 2^2 = 2 * 4 = 8
n=3: 2 * 3^2 = 2 * 9 = 18
n=4: 2 * 4^2 = 2 * 16 = 32
n=5: 2 * 5^2 = 2 * 25 = 50

and so on....

Answer 2

50

Answer 3

yes I think it is 2n^2 too

2 x 1^2 = 2
2 x 2^2 = 8
2 x 3^3 = 18
2 x 4^2 = 32