B bobby New member Joined Oct 17, 2007 Messages 1 Oct 17, 2007 #1 how do you figure out the recursive formula for a sequence. I cannot figure this one out to save my life. 1, 1/2, 1/3, 1/4.
how do you figure out the recursive formula for a sequence. I cannot figure this one out to save my life. 1, 1/2, 1/3, 1/4.
L Larry12 New member Joined Oct 17, 2007 Messages 4 Oct 17, 2007 #2 I came to notice that the denominator increases by 1 in each step. 1 / 1 + 1 = 1 / 2 etc. but i guess thats not what you are asking for >_>
I came to notice that the denominator increases by 1 in each step. 1 / 1 + 1 = 1 / 2 etc. but i guess thats not what you are asking for >_>
pka Elite Member Joined Jan 29, 2005 Messages 11,978 Oct 17, 2007 #3 Does this work? \(\displaystyle \L n_1 = 1\,\& \,k > 1,\quad n_k = \left[ {\left( {n_{n - 1} } \right)^{ - 1} + 1} \right]^{ - 1}.\)
Does this work? \(\displaystyle \L n_1 = 1\,\& \,k > 1,\quad n_k = \left[ {\left( {n_{n - 1} } \right)^{ - 1} + 1} \right]^{ - 1}.\)
