Please answer fast Using the principle of mathematical induction prove that 3n ⩾ 2n - Maths - Principle of Mathematical Induction

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Using the principle of mathematical induction prove that
3n ⩾ 2n

Aditi Jain. · Accepted Answer

Dear Student,We have to prove 3n≥2n using mathematical induction
As 3≥2, thus, 3n≥2n  holds for n=1
Let,3n≥2n holds for n=ki e
 3k≥2kNow, we have to show that 3n≥2n holds for n=k+1Consider 3k+1=3k×3≥2k×3        As 3k≥2kBut 2k×3≥2k×2                                 [As 3>2]⇒3k+1≥2k+1Thus, 3n≥2n holds for n=k+1and hence, 3n≥2n ∀n∈ℕRegards

Please answer fast... Using the principle of mathematical induction prove that 3n ⩾ 2n

Please answer fast...

Using the principle of mathematical induction prove that
3ⁿ $⩾$ 2ⁿ