For a sequence $0\to A\to B\to C\to 0$ we have an associated long exact sequence in homology $$\cdots\to H_n(X;A)\to H_n(X;B)\to H_n(X;C)\to H_{n-1}(X;A)\to \cdots.$$ The question asks to "describe this long exact sequence for $X=RP^n$ and the SES $$0\to\mathbb{Z}\to\mathbb{Z}\to\mathbb{Z}/2\to 0"$$ (where the second map is multiplication by $2$).
I know that $H_i(RP^n;\mathbb{Z}/2)=\mathbb{Z}/2$ for all $0\leq i\leq n$ and $0$ otherwise and that $H_i(RP^n;\mathbb{Z})$ is $\mathbb{Z}$ for $i=0$, $i=n$ odd, $\mathbb{Z}/2$ for $0<i<n$ odd and $0$ otherwise. I don't know what is meant by "describe". Surely it doesn't mean to just write the values of the different homologies in the below sequence for $n$ odd and for $n$ even ? ie
$$H_{n+1}(RP^n;\mathbb{Z}/2)\to H_n(RP^n;\mathbb{Z})\to H_n(RP^n;\mathbb{Z})\to H_n(RP^n;\mathbb{Z}/2)\to\cdots H_0(RP^n;\mathbb{Z})\to H_0(RP^n;\mathbb{Z}/2)$$ would be $$0\to 0\to 0\to\mathbb{Z}/2\to\cdots\to\mathbb{Z}\to\mathbb{Z}/2$$ for $n$ even and a different sequence written in a similar way for $n$ odd ? I just want to know what is asked/how the question above is to be interpreted (it is written exactly as I quoted it). Thanks.