sed 'NUMq;d' file
# Format, where n is the nth line
sed -n '0~Np'
# For example, to copy every 5th line of oldfile to newfile, do
sed -n '0~5p' oldfile > newfile
# would print lines 2, 7, 12, 17, 22, 27, …, up to the end of the file.
sed -n '2~5p' oldfile