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The serial numbers of first 8 white beads are = 1, 5, 9, 13, 17, 21, 25, 29, Step-by-step explanation: Since there are 3 blue beads after each white beads, Hence we can design the progression in the following way looking at the sequence: W,B,B,B,W,B,B,B,W....
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The numbers for the first eight beads that are white are; 1, 5, 9, 13, 17, 21, 25, 29
Arithmetic Sequence
We are told that she strings in this order;
- 1 white
- 3 blue
- 1 white bead
Now, after the first white bead, the next white bead is the 5th bead in total.
This means the difference in interval between white beads is; 5 - 1 = 4 beads
Thus, the numbers for the first eight beads that are white are;
1, (1 + 4), (1 + 4 + 4), (1 + 4 + 4 + 4).....
Thus, we have;
1, 5, 9, 13, 17, 21, 25, 29
Read more on arithmetic sequence at; https://brainly.com/question/7849474