Question

Nth term of this quadratic sequence 2,8,18,32,50

Answer 1

Answer:

2n²

Step-by-step explanation:

2 , 8 , 18 , 32 , 50

First difference = 6 , 10 , 14 , 18

Second difference = 4 , 4 , 4

First term(n² th term) = 4/2 = 2n²

Check:

n = 1;  2n² = 2*1 = 2

n = 2 ; 2n² = 2* 2² = 2 *4 = 8

n=3 ; 2n² = 2*3² = 2*9 = 18