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