Question

Is it possible ?
\[(2n+2)2^{n}n! = 4n^{n} + 4^{n} (n!)\]

Answer 1

i think its wrong but is there a smilar solution for \[(2n+2)2^{n}n! = ?\]

Answer 2

I think \[2(2^n) = 2^{n+1}\]

Answer 3

for sure

Answer 4

\(n^n\) grows very fast. i think this is unlikely

Answer 5

in any case it is not true if \(n=5\) just checked

Answer 6

hmm yes i tried some numbers too and it was not true..