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Given an example of a statement P(n) whi...

Given an example of a statement `P(n)` which is true for all `ngeq4` but `P(1),\ P(2)a n d\ P(3)` are not true. Justify your answer.

Text Solution

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Let the statement P(n) : `3nltn!`
For `n=1,3xx1lt1!` [false]
For `n=2,2,3xx2lt2!rArr6lt2` [false]
For `n=3,3xx3lt3!rArr9lt6` [false]
For `n=4,3xx4lt4!rArr12lt24`[true]
For `n=5,3xx5lt5!rArr15lt5xx4xx3xx2xx1rArr15lt120` [true]
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