Question

Define p(n) to be the assertion that: (a) Verify that p(3) is true. (b) Express p(k). (c) Express p(k+1).

Answer 1

The given statement defines a function p(n) with several parts, including p(3), p(k), and p(k+1).

Step-by-step explanation:

The given statement defines a function p(n) with several parts:

1. p(3) is true: This means that the condition p(n) is verified for n=3.
2. p(k): This expression represents the assertion p(n) for any value of n. For example, p(4) would be true if the condition is satisfied for n=4.
3. p(k+1): This expression represents the assertion p(n) for the next value of n. For example, p(4+1) is equivalent to p(5). This allows us to represent the condition for the next number in the sequence.

In summary, p(n) is a function that verifies a condition for different values of n, including p(3), p(k), and p(k+1).