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if-n-gt-2-n-N-then-prove-that-2n-1-n-2n-n-lt-2n-1-n-




Question Number 147465 by gsk2684 last updated on 21/Jul/21
if n>2,n∈N then prove that   {(2n−1)^n +(2n)^n }<(2n+1)^n
$${if}\:{n}>\mathrm{2},{n}\in{N}\:{then}\:{prove}\:{that}\: \\ $$$$\left\{\left(\mathrm{2}{n}−\mathrm{1}\right)^{{n}} +\left(\mathrm{2}{n}\right)^{{n}} \right\}<\left(\mathrm{2}{n}+\mathrm{1}\right)^{{n}} \\ $$

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