Chapter 9.PS, Problem 10PS

To determine

(a)

To find:

The conclusion about the sequence of statement $P_n$, if $P_3$ is true and $P_k$ implies $P_{k+1}$.

To determine

(b)

To find:

The conclusion about the sequence of statement $P_n$, if $P_1,P_2,P_3,\mathrm{...},P_{50}$ are all true.

To determine

(c)

To find:

The conclusion about the sequence of statement $P_n$, if $P_1,P_2,$ and $P_3$ are all true, but the truth of $P_k$ does not imply that $P_{k+1}$ is true.

To determine

(d)

To find:

The conclusion about the sequence of statement $P_n$, if $P_2$ is true and $P_{2k}$ implies $P_{2k+2}$.