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

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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
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that looks like recursion formulas
\[U_{n+1} = \frac{U_{n}}{1+U_{n}}\]
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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Other answers:

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

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