Answer:
nth term = 2n^2
Step-by-step explanation:
The computation of the nth term of the quadratic sequence is as follows;
The given sequence is 2,8,18,32,50
Now
The first term, n = 1 = 2 × 1 × 1 = 2
Second term, n =2 = 2 × 2 × 2 = 8
Third, n =3 = 2 × 3 × 3 = 18
fourth term, n = 4, = 2 × 4 × 4 = 32
fifth term, n =5, = 2 × 5 × 5 = 50
Now finally For nth term, = 2 × n × n = 2n^2
Therefore nth term = 2n^2
