anonymous
  • anonymous
Help me please... your given that: u(base 1)=1 and u(base n+1)=u(base n)/1+u(base n) Find the values of U (base 2), U(base 3) and U (base 4). give your answers as a fraction and please be so nice to explain it
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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amistre64
  • amistre64
that looks like recursion formulas
amistre64
  • amistre64
\[U_{n+1} = \frac{U_{n}}{1+U_{n}}\]
amistre64
  • amistre64
U{1} = 1 so.... U{2} = 1/(1+1) = 1/2 U{3} = (1/2)/(1+(1/2)) = 1/3 U{4} = [1/3]/ [1+(1/3)] = 1/4

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amistre64
  • amistre64
you just keep reiterating the past amount to find the present amount
amistre64
  • amistre64
'btm' works with themand his material calls them difference equations..... which seems an archaic term
anonymous
  • anonymous
thank you very much medal earned :)

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