The functions f[x] and g[x] have domains of R,and f[x]+g[4-x]=4,g[4]=8,g[x]-f[x-8]=8,and g[4+x]=g[4-x].Find the value of sum = Sum[f[2*m], {m, 1, 16}]
I tried this set of code and did not find the cumulative value
Clear["`*"]
g[x_ /; x <= 4] = g[x] = g[8 - x]
g[4] = 8
f[x_ /; x >= 4] = f[x] = 4 - g[4 - x]
f[x_ /; x < 4] = f[x] = g[x + 8] - 8
\!\(
\*UnderoverscriptBox[\(\[Sum]\), \(m = 1\), \(16\)]\(f[2 m]\)\)
