If P(n) is the statement “n 3 + n is divisible by 3”, prove that P(3) is true but P(4) is not true. Given. P(n) = n 3 + n is divisible by 3 Find P(3) is true but P(4) is not true

Question

Philoid · Accepted Answer

We have P(n) = n³ + n is divisible by 3

Let’s check with P(3)

= P(3) = 3³ + 3

= P(3) = 27 + 3

Therefore P(3) = 30, So it is divisible by 3

Now check with P(4)

= P(4) = 4³ + 4

= P(4) = 64 + 4

Therefore P(4) = 68, So it is not divisible by 3

Hence, P(3) is true and P(4) is not true.

If P(n) is the statement “n3 + n is divisible by 3”, prove that P(3) is true but P(4) is not true.Given. P(n) = n3 + n is divisible by 3Find P(3) is true but P(4) is not true

If P(n) is the statement “n³ + n is divisible by 3”, prove that P(3) is true but P(4) is not true.
Given. P(n) = n³ + n is divisible by 3

Find P(3) is true but P(4) is not true