Respuesta :

Answer:

3/9 = 3 ..........

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Step-by-step explanation:

Answer:

[tex]a_9=64[/tex]

Step-by-step explanation:

So we've been given a recursive formula, this means that each [tex]a_n[/tex] value depends on the value of [tex]a_{n-1}[/tex]

[tex]a_1=-32[/tex]

[tex]a_n=a_{n-1}+12[/tex]

So, in order to find [tex]a_9[/tex], we must first find [tex]a_2, a_3.a_4, a_5, a_6, a_7[/tex] and [tex]a_8[/tex]

[tex]a_2=a_1+12=-32+12=-20[/tex]

[tex]a_3=a_2+12=-20+12=-8[/tex]

[tex]a_4=a_3+12=-8+12=4[/tex]

[tex]a_5=a_4+12=4+12=16[/tex]

[tex]a_6=a_5+12=16+12=28[/tex]

[tex]a_7=a_6+12=28+12=40[/tex]

[tex]a_8=a_7+12=40+12=52[/tex]

[tex]a_9=a_8+12=52+12=64[/tex]

Then, [tex]a_9=64[/tex]

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