Respuesta :

Rau7star

Answer:

[tex]a_3[/tex] =  15

[tex]a_4[/tex] = 21

[tex]a_5[/tex] =  27

Step-by-step explanation:

Using the following equation i,e given :

[tex]a_n[/tex] = 2([tex]a_2[/tex]) - [tex]a_1[/tex] = = 2([tex]a_n_-_1[/tex])− [tex]a_n_-_2[/tex]

-> For n=3 :

[tex]a_3[/tex] = 2([tex]a_2[/tex]) - [tex]a_1[/tex] = 2(9)-3 = 15

-> for n=4

[tex]a_4[/tex] = 2([tex]a_3[/tex]) - [tex]a_2[/tex] = 2(15)-9=21

->for n=5

[tex]a_5[/tex] = 2([tex]a_4[/tex]) - [tex]a_3[/tex] = 2(21)-15 = 27

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