kudzie adore Messages 2 Reaction score 0 Thread starter Oct 4, 2013 #1 prove by Induction that n! ≥ 2^(n-1) n ≥ 1
pwsnafu Science Advisor Messages 1,082 Reaction score 85 Oct 4, 2013 #2 Okay, so show us what you have attempted.
kudzie adore Messages 2 Reaction score 0 Oct 4, 2013 #3 I managed to prove for n= 1 and is true for n=k k!≥ 2^ (k-1) and I assumed that n=k to be true then for n= k+1 its (k+1)! ≥ 2^[(k+1)-1] proof for n=(k+1) (k!)(k+1) ≥ _____? the problem is that how do we reach the proof for (k+1)
I managed to prove for n= 1 and is true for n=k k!≥ 2^ (k-1) and I assumed that n=k to be true then for n= k+1 its (k+1)! ≥ 2^[(k+1)-1] proof for n=(k+1) (k!)(k+1) ≥ _____? the problem is that how do we reach the proof for (k+1)
tiny-tim Science Advisor Homework Helper Messages 25,837 Reaction score 258 Oct 4, 2013 #4 hi kudzie adore! welcome to pf! (try using the X2 button just above the Reply box ) hint: if an equation is true, then multiplying both sides by the same factor will still be true
hi kudzie adore! welcome to pf! (try using the X2 button just above the Reply box ) hint: if an equation is true, then multiplying both sides by the same factor will still be true