Answer:
The recursive formula to generate the sequence 9.6,-4.8,2.4,-1.2,0.6....
[tex]a_n=-\frac{a_n-1}{2}[/tex]
Step-by-step explanation:
Given
f(1)=9.6
The given sequence
9.6,-4.8,2.4,-1.2,0.6....
[tex]a_1=9.6[/tex]
[tex]a_2=4.8[/tex]
[tex]a_3=2.4[/tex]
[tex]\frac{a_2}{a_1} =\frac{-1}{2}[/tex]
[tex]a_2=-\frac{a-1}{2}[/tex]
similarly , we get
[tex]\frac{a_3}{a_2} =\frac{2.4}{-4.8}[/tex]
By simplification we get
[tex]a_3=-\frac{a_2}{2}[/tex]
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......................................................
[tex]a_n=-\frac{a_n-1}{2}[/tex]
Hence, the recursive formula for the given sequence
[tex]a_n=-\frac{a_n-1}{2}[/tex].
