The script (untested)
#!/bin/bash
# Set path to backup directory
BK_PATH = /path/to/backups/
# If 3 is there remove it
if [ -f "${BK_PATH}3.tgz" ]
then
rm -rf ${BK_PATH}3.tgz
fi
# If 2 is there, it becomes 3
if [ -f "${BK_PATH}2.tgz" ]
then
mv ${BK_PATH}2.tgz ${BK_PATH}3.tgz
fi
# If 1 is there, it becomes 2
if [ -f "${BK_PATH}1.tgz ]
then
mv ${BK_PATH}1.tgz ${BK_PATH}2.tgz
fi
# Create 1.
tar czvf ${BK_PATH}1.tgz $1
Then, in your crontab:
0 0 * * 6 /path/to/the/script /path/the/thing/you/want/backedup