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
