Give an example of a statement P(n) which is true for all n ≥ 4 but P(1), P(2) and P(3) - Maths - Principle of Mathematical Induction

Question

Give an example of a statement P(n) which is true for all n ≥ 4
but P(1), P(2) and P(3) are not true Justify your answer

Anuradha Sharma · Accepted Answer

Dear STudent,
let y =2n-4  is an integer for n ≥4  but it is not true for n=1;2;3  because at these points they will be fraction
Regards

Give an example of a statement P(n) which is true for all n ≥ 4 but P(1), P(2) and P(3) are not true. Justify your answer.