Let P(n) be the statement," n3 + n is divisible by 3". Check whether P(3) and P(4) is true.

Asked by Topperlearning User | 15th May, 2014, 11:50: AM

Expert Answer:

We have P(n) = n3 + n  is divisible by 3.  
 P(3) is the statement 33 + 3 is divisible by 3.
P(3) = 30, which is divisible by 3.
P(4) is the statement 43 + 4 is not divisible by 3.
P(4) = 68, which is not divisible by 3.
Hence P(3) is true while P(4) is not true.

Answered by  | 15th May, 2014, 01:50: PM