A sequence is defined recursively using the formula f(n + 1) = –0.5 f(n) . If the first term of the sequence is 120, what is f(5)?

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08-07-2016
Mathematics

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A sequence is defined recursively using the formula f(n + 1) = –0.5 f(n) . If the first term of the sequence is 120, what is f(5)?

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caylus caylus · Answer 1 · 2016-07-08T18:54:29+02:00

caylus caylus

08-07-2016

Hello,

[tex] f(1)=120\\ f(2)=-\frac{1}{2}*120=-60\\ f(3)=-\frac{1}{2} *(-60)=30\\ f(4)=-\frac{1}{2} *(30)=-15\\ f(5)=-\frac{1}{2} *(-15)=\frac{15}{2}\\ [/tex]

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