Question

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

Answer 1

Answer:

n=1,

=5

n =2,

=15

n=3

=33

Step-by-step explanation:

$n = 1 \\ 4 {n}^{2} - 2n + 3 \\ 4 \times 1 \times 1 - 2 \times 1 + 3 \\ 4 - 2 + 3 \\ 2 + 3 \\ = 5$

$n = 2 \\ 4 {n}^{2} - 2n + 3 \\ 4 \times 2 \times 2 - 2 \times 2 + 3 \\ 16 - 4 + 3 \\ 12 + 3 \\ = 15$

$n = 3 \\ 4 {n}^{2} - 2n + 3 \\ 4 \times 3 \times 3 - 2 \times 3 + 3 \\ 36 - 6 + 3 \\36 - 3 \\ = 33$