PLEASE ANSWER THIS QUESTION CORRECTLY, I’LL GIVE YOU BRANLIEST!It’d be amazing if you could answer my other math questions if you solve this one, thank you.

PLEASE ANSWER THIS QUESTION CORRECTLY ILL GIVE YOU BRANLIESTItd be amazing if you could answer my other math questions if you solve this one thank you class=

Respuesta :

Answer:

4, 16

Step-by-step explanation:

[tex] a_n = 3a_{n - 2} - a_{n - 1} - 1 [/tex]

Let's see if it works for a_3:

[tex] a_3 = 3a_{1} - a_{2} - 1 [/tex]

[tex] a_3 = 3(3) - (4) - 1 [/tex]

[tex] a_3 = 4 [/tex]

Yes, it works for a_3.

Now let's calculate a_4.

[tex] a_4 = 3a_{2} - a_{3} - 1 [/tex]

[tex] a_4 = 3(4) - (4) - 1 [/tex]

[tex] a_4 = 7 [/tex]

a_4 is also correct.

Let's calculate a_5.

[tex] a_5 = 3a_{3} - a_{4} - 1 [/tex]

[tex] a_5 = 3(4) - 7 - 1 [/tex]

[tex] a_5 = 4 [/tex]

Let's calculate a_6.

[tex] a_6 = 3a_{4} - a_{5} - 1 [/tex]

[tex] a_6 = 3(7) - 4 - 1 [/tex]

[tex] a_6 = 16 [/tex]

Answer: 4, 16

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