Q4 of 27 Page 4

Let P(n): n2 >9. Is P (2) true?

Consider P(n): n2 >9,


n2 = (2)2


= 4


As 4 ≯ 9.


So, P (2) is not true.


More from this chapter

All 27 →
2

Write the set of value of n for which the statement P(n): 2n<n! is true.

 3

Let P(n): n(n+1) (n+2) is divisible by 3. What is P(3)?

 5

If P(n) is the statement “n (n + 1) is even”, then what is P(4)?

 6

If P(n) is the statement “2n ≥ 3n”, and if P(r) is true, prove that P(r + 1) is true.