Question

Barb is making a bead necklace she string 1white bead then 3blue beads then 1 white bead and so on write the number for the first 8 beads that are white what is a rule for the parten

Answer 1

Answer:

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.......

Hence the required formula for white beads serial number is,

N = (X-1)(A+1) + L  

Where, A = number of blue beads after each white beads = 3

L = initial position at which the first white bead is placed = 1

X = number of white bead

Putting the values in the above formula our equation becomes,

N = 4(X-1) + 1

Hence we can find out the serial numbers as follows:

N₁ = 4 x 0 + 1 = 1

N₂ = 4x1 + 1 = 5

N₃ = 4x2 + 1 = 9

and so on upto  

N₈ = 4 x 7 + 1 = 29