2.4 There are 2003 bags arranged from left to right. It is given that the leftmost bag contains $R$ balls, and every 7 consecutive bags contains 19 balls altogether. If the rightmost bag contains $S$ balls, find the value of $S$.
The leftmost bag contains 8 balls.
Starting from left to right, the total number of balls from $2^{\text {nd }}$ bag to the $7^{\text {th }}$ bag is 11 .
The number of balls in the $8^{\text {th }}$ bag is therefore 8 .
Similarly, the number of balls in the $15^{\text {th }}$ bag, $22^{\text {th }}$ bag, $29^{\text {th }}$ bag, $\ldots$ are all 8 .
$2003=7 \times 286+1$, the rightmost bag should have the same number of balls as the leftmost bag.
$$
S=8
$$