Question

Generate the first three terms of the following sequence 4n² - 2n + 3

Answer 1

n=1,

=5

n =2,

=15

n=3

=33

Explanation:

`n = 1 \\ 4 {n}^(2) - 2n + 3 \\ 4 * 1 * 1 - 2 * 1 + 3 \\ 4 - 2 + 3 \\ 2 + 3 \\ = 5`

`n = 2 \\ 4 {n}^(2) - 2n + 3 \\ 4 * 2 * 2 - 2 * 2 + 3 \\ 16 - 4 + 3 \\ 12 + 3 \\ = 15`

`n = 3 \\ 4 {n}^(2) - 2n + 3 \\ 4 * 3 * 3 - 2 * 3 + 3 \\ 36 - 6 + 3 \\36 - 3 \\ = 33`