若f(n)=sin(nπ/6)(n∈Z),则f(1)+f(3)+f(5)+……+f(119)=

f(1)+f(3)+f(5)+f(7)+f(9)+f(11)=sin(π/6)+sin(3π/6)+sin(5π/6)+sin(7π/6)+sin(9π/6)+sin(11π/6) =0 1,3,5,7,9,11一共6个 1,3,5~119 一共60个 f(n)=sin(nπ/6) 是 周期函数 f(1)+f(3)+f(5)+……+f(119)=10(f(1)+f(3)+f(5)+f(7)+f(9)+f(11))=10*0=0