Dante is making a necklace with 18 rows of tiny beads in which the number of beads per row is given by the series 2 + 8 + 14 + 20 + ... a. Use sigma notation to write the series. Explain what the numbers in the sigma notation represent in this situation and how you found the expression used in the summation.
b. Find the total number of beads in the necklace. Explain your method for finding the total number of beads.

Step-by-step explanation:

Well, first we are going to add the beads together.

2 + 8 + 14 + 20 = 44

Next, let's multiply the sum by 18 because there are 18 rows of 44 beads.

18 x 44 = 792

I hope this answer helps. I not sure how to solve the sigma notation part, but there is the solving part. ;)

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~

step-by-step explanation:

mean or average is 40.6