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

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

{3 + i, 3 - i, 3, -1}

step-by-step explanation:

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x