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Question

Let Pn be the statement: 2n3n. If Pr is true, then show that Pr+1 is true. Do you conclude that Pn is true for all nN?


Solution

Since, for n=1 i.e. P1:LHS=21=2RHS=3×1=3As, LHS<RHSSo, it is not true for n=1.Hence, we conclude that Pn is not true for all nN.

Mathematics
RD Sharma XI (2019)
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