# Homework Help: Mathematical induction null sequence

1. Jan 12, 2006

### teng125

Show that the sequence given by An = n/2^n is a null sequence..

Hint: We have proved by mathematical induction that2^n >or equal n^2, n> or equal 5...

pls help.....

2. Jan 12, 2006

### neurocomp2003

show that the limit n/2^n approaches 0...or that 2^n >>>> n as n goes to infinity.....you know 2^n>=n^2 given above...now what can you show iwth n,n^2

3. Jan 12, 2006

### teng125

which means n is small and 2^n is much bigger so if they are divided then the answer is appro zero??

Prove $5^n+9<6^n$ for $n\epsilon N|n\ge2$ by induction Jun 9, 2017