Identify the inductive hypothesis.

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

Multiple Choice

$$In the inductive hypothesis, we assume P$($k$)$ for some integer k$,$ k $<0,112112+123123+...+1$k$($k$+1)1(+1)=$ k$1$k$+11+1.$

$$In the inductive hypothesis, we assume P$($k$)$ for some integer k$,$ k $>0,112112+123123+...+1$k$($k$+1)1(+1)=$ kk$+1+1.$

$$In the inductive hypothesis, we assume P$($k$)$ for some integer k$,$ k $>0,112112+123123+...+1$k$($k$+1)1(+1)=$ k$1$k$+11+1.$

$$In the inductive hypothesis, we assume P$($k$)$ for some integer k$,$ k $>0,112112+123123+...+1$k$($k$+1)1(+1)=$ k$+1$k$+2+1+2.$