Question

1. 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.
2. Give an example of a statement P(n) which is true for all n. Justify your answer.

Answer 1

  P(n): sum of first n natural number is given by n(n+1)/2.
for example sum of 1+2+3+4+5 is (5*6)/2=15