Question

i used proof by induction to prove the following but I think I may have missed an easier method... would you mind having a look please?

Answer 1

Question?

Answer 2

sorry i am editing it

Answer 3

\[\frac{ 6^n }{ n! }\le \frac{ 6^5 }{ 5! }\times \frac{ 6 }{ n }\]

Answer 4

for n greater than 6

Answer 5

forgive my slow editing. new computer and tablet and struggling a bit!

Answer 6

its clear by induction

Answer 7

that was how i did it, but i wondered if I mised an easier way. Thanks!

Answer 8

the best thing to do for proving something is true for all n, is induction.