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NOTE: This is a multi$-$part question. Once an answer is submitted, you will be unable to return to this part.

Let P$($n$)$ be the statement that $13+23+33+...+$n$3$

$=($n$($n$+1)2)2$

for the positive integer n$.$

We will have completed the basis step of the proof if we show that

$($Check all that apply.$)$

$($You must provide an answer before moving to the next part.$)$

Check All That Apply

P$(1)$ is true.

P$(1)$ is true.

P$(0)$ is true.

P$(0)$ is true.

P$(1)->$ P$(2)$ is true.

P$(1)->$ P$(2)$ is true.

$13+23+...+$n$3=($n$($n$+1)2)2$

is true for n $=1.$

$13+23+...+$ n$3=($ n$($n$+1)2)2$ is true for n $=1.$

$13+23+...+$n$3=($n$($n$+1)2)2$

is true for some integer n$.$