Algebra 2

Dante is making a necklace with 18 rows of tiny beads in which the number of beads per row is given by the series 3+10+17+24+...

a. If you were to write this series in summation notation, give
i. the lower limit of the sum
ii. the upper limit of the sum
iii. the explicit formula of the sum

b. Find the total number of beads in the necklace. Explain your method for finding the total number of beads.

Show all your work.

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  1. note that each term increases by 7
    So, you have an AP with
    a = 3
    d = 7
    So, S_18 is

    18
    ∑ 3+7(n-1) = 18/2 (2*3 + 17*7)
    n=1

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    oobleck
  2. Thank you!

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