## anonymous 5 years ago 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

1. amistre64

that looks like recursion formulas

2. amistre64

$U_{n+1} = \frac{U_{n}}{1+U_{n}}$

3. 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

4. amistre64

you just keep reiterating the past amount to find the present amount

5. amistre64

'btm' works with themand his material calls them difference equations..... which seems an archaic term

6. anonymous

thank you very much medal earned :)