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Bond [772]
3 years ago
14

Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1? 9.6, –4.8, 2.4, –1.2, 0.6, ..

.
Mathematics
2 answers:
gtnhenbr [62]3 years ago
7 0

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}

..................................................

......................................................

a_n=-\frac{a_n-1}{2}

Hence, the recursive formula for the given sequence

a_n=-\frac{a_n-1}{2}.

fenix001 [56]3 years ago
4 0
N-1(-1/2) is the formula because the sequence is taking half of the previous number and changing its sign
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