- #1
3.14lwy
- 15
- 0
how to show this:
if f(x) = 2x/(2x-1)
then show f(n) + f(n)f(n-1) + f(n)f(n-1)f(n-2) + ... + f(n)f(n-1)f(n-2)...f(1) = 2n .
I have tried to use induction , and I can show it.
but , I can't show it without using induction.
can anyone tell how to show it without using induction?
thank you !
if f(x) = 2x/(2x-1)
then show f(n) + f(n)f(n-1) + f(n)f(n-1)f(n-2) + ... + f(n)f(n-1)f(n-2)...f(1) = 2n .
I have tried to use induction , and I can show it.
but , I can't show it without using induction.
can anyone tell how to show it without using induction?
thank you !