Question

Prove 3n+ 20 < 3^n

Answer 1

you can't prove it

Answer 2

it's not always the case

Answer 3

its true for n>3 u may use mathematical induction, for n=4\[32<3^4=81\]now suppose that the statement is true for some n=k>4 this means\[3k+20<3^k\]and prove that for \(n=k+1\)\[3(k+1)+20<3^{k+1}\]i think u can do it from here :) let me know if this is unclear