All positive integers n for which the given statement 3n>6n is not true.

UkusakazaL

UkusakazaL

Answered question

2021-09-25

All positive integers n for which the given statement 3n>6n is not true.

Answer & Explanation

escumantsu

escumantsu

Skilled2021-09-26Added 98 answers

Given: 3n>6n
First we have to consider the given statement as P(n). P(n), Proof of induction is a mathematical statement involving a value n. We have to find all positive integers n for which the given statement 3n>6n is not true. For that we have to Substitute values of n as 1,2,3 ... to check for which value P(n) is true.
Calculation:
Description3n>6nStep 1: Substitute values of n as 1, 2, 3... to check for which value P(n) is true.P(n):3n>6nP(1):31>6(1)3>6 is not true.P(2):32>6(2)9>12 is not true.P(3):33>6(3)27>18 is true.
Conclusion: All positive integers n for which the given statement 3n>6n is not true are 1,2.

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