Question

1+3+5+……… +(2n-1) = n2 +2, prove that P(k+1) is true whenever P(k) is true. But , P(n) is not true for all natural numbers.

Answer 1

Answer:

put n=1

on L.H.S

2n-1

2-1

1

ONE R.H.S

n²+2

put n=1

1+2

3

therefore LHS is not equal to R.H.S

p(n)is not true for all natural no.