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.
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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