Barb is making a bead neaklace. She strings 1 white bead,then 3 blue beads,then 1 white bead,and so on. Write the numbers for the first eight beads that are white. What is a rule for the pattern?

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matth

To find the numbers for the first eight white beads in the pattern, we need to understand the pattern sequence first.

The pattern sequence is as follows:
1 white bead, 3 blue beads, 1 white bead, 3 blue beads, and so on.

To determine the numbers for the first eight white beads, we can list out the sequence of beads:

1 white bead,
3 blue beads,
1 white bead,
3 blue beads,
1 white bead,
3 blue beads,
1 white bead,
3 blue beads.

From this sequence, we can see that the white beads occur in a repeating pattern. The numbers for the first eight white beads are:

1, 3, 5, 7, 9, 11, 13, 15.

To understand the rule for the pattern, we can note that the white beads occur at odd positions in the sequence (1, 3, 5, etc.). Specifically, the position number for the white beads can be calculated using the formula:

Position number = (2 * Bead number) - 1.

In this case, the bead number represents the number of the white bead. So, for example, if we want to find the position number for the 4th white bead, we would plug the value "4" into the formula:

Position number = (2 * 4) - 1 = 8 - 1 = 7.

Therefore, the 4th white bead would be situated at the 7th position in the sequence.