7^2n-1 is divisible by 48, prove using pmi

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7^2n-1 is divisible by 48, prove using pmi

Rishabh Mittal · Accepted Answer

Dear Student ,

Please find below the solution to the asked query :

Let pn be 72n-1 is divisible by 48
For n=172-1=49-1=48 , it is dividible by 48
So , it is true for n=1Let us assume that it is also true for n=k72k-1=48dNow,For n=k+172k+1-1=72k
72-1=49 72k-1+1-1=49 48d+1-1=2352d+49-1=2352d+48=48 49d+1=48mSo, it is also true for n=k+1
Hence by PMI pn is true for all n∈N
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