willydw17 willydw17
  • 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 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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