Let `P(n)` be the statement: `2^n >= 3n`. If `P(r)` is true, show that `P (r + 1)` is true. Do you conclude that `P(n)` is true for all `n in N`

Explanation

P(n) :` 2^n≥3n`


It is given that P(r) is true, so

`2^r≥3^r` .......(1)

Multiplying both the sides by 2,

`2^r2≥3r.2`


`2^(r+1)≥6r`
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