Question

(0.2)^2n-1/n-1>5
Please Prove it guys​

Answer 1

To prove:$\frac{(0.2)^{2n-1} }{n-1}$>5

Step-by-step explanation:

=>          $(0.2)^{2n-1}$>5

             $(\frac{2}{10}) ^{2n-1}$>5

             $5^{1-2n}$ +5>5n

             Now put any value of n (according to question) it L.H.S. > R.H.S.

             For an example:-

   =>     If n=0

             $5^{1}$+5>0

             10>0

             Hence L.H.S > R.H.S.

   =>      If n=1

             $5^{1-2}$+5 >5

             $5^{-1}$+5 >5

             0.2+5 >5

             5.2>5

             Hence again L.H.S > R.H.S.

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