hoodogies hoodogies
  • 18-05-2020
  • Mathematics
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Generate the first three terms of the following sequence 4n² - 2n + 3

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Hi1315
Hi1315 Hi1315
  • 18-05-2020

Answer:

n=1,

=5

n =2,

=15

n=3

=33

Step-by-step explanation:

[tex]n = 1 \\ 4 {n}^{2} - 2n + 3 \\ 4 \times 1 \times 1 - 2 \times 1 + 3 \\ 4 - 2 + 3 \\ 2 + 3 \\ = 5[/tex]

[tex]n = 2 \\ 4 {n}^{2} - 2n + 3 \\ 4 \times 2 \times 2 - 2 \times 2 + 3 \\ 16 - 4 + 3 \\ 12 + 3 \\ = 15[/tex]

[tex]n = 3 \\ 4 {n}^{2} - 2n + 3 \\ 4 \times 3 \times 3 - 2 \times 3 + 3 \\ 36 - 6 + 3 \\36 - 3 \\ = 33[/tex]

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