SOLUTION: if f(x+1)=f(x)/x and f(3)=5, what is the value of f(7)?

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Question 514421: if f(x+1)=f(x)/x and f(3)=5, what is the value of f(7)?
Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


I just did this one 20 minutes ago.











John

My calculator said it, I believe it, that settles it
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+f%283%29+=+5+
+x+=+3+
+f%28x+%2B+1%29+=+f%28x%29%2Fx+
+f%284%29+=+5%2F3+
------------------
+x+=+4+
+f%28x+%2B+1%29+=+f%28x%29%2Fx+
+f%285%29+=+f%284%29%2F4+
+f%285%29+=+5%2F12+
------------------
+x+=+5+
+f%28x+%2B+1%29+=+f%28x%29%2Fx+
+f%286%29+=+f%285%29%2F5+
+f%286%29+=+5%2F60+
------------------
+x+=+6+
+f%28x+%2B+1%29+=+f%28x%29%2Fx+
+f%287%29+=+f%286%29%2F6+
+f%287%29+=+5%2F360+
+f%287%29+=+1%2F72+