Question

2. 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? ​

Answer 1

Answer:

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Step-by-step explanation:

given P(n)=n^3 +n

p(4) put 4 in place of n in P(n)=n^3 +n

so p(4)=4^3+4=64+4=68.

68 is not divisible by 3

p(4) put 3 in place of n in P(n)=n^3 +n

so p(4)=3^3+3=27+3=30.

30 is divisible by 3

hence proved that p(n)=n^3 +n is divisible by 3", prove that P (3) is true but P (4) is

not true

hope you understood :)