A bunch of seed workers take out half of them for the first time, the remaining one third for the second time, and the remaining one fourth for the third time until the remaining one in 2004. How many jin of seeds are left in the end

A bunch of seed workers take out half of them for the first time, the remaining one third for the second time, and the remaining one fourth for the third time until the remaining one in 2004. How many jin of seeds are left in the end

2004(1-1/2)(1-1/3)(1-1/4)…… (1-1/2004)
=2004×1/2×2/3×3/4…… 2001/2002×2002/2003×2003/2004
=2004×1/2004
=1