967÷7= 138 (group) ... 1 (piece)

A: The 967th bead is black.

The remainder is 1, which is 1 the color of the ball.

The remainder is 2, which is the color of the second ball.

The remainder is 3, which is the color of the third ball.

The remainder is 4, which is the color of the fourth ball.

The remainder is 5, which is the color of the fifth ball.

The remainder is 6, which is the color of the sixth ball.

There is no remainder, which is the color of the seventh ball.