Dante is making a necklace with 18 rows of tiny beads in which the

Question

Dante is creating a necklace consisting of 18 rows of tiny beads, where the number of beads in each row is defined by the series 3, 10, 17, 24, ... 
a. Please use summation notation to express this series. Include the following details:
   i. the lower limit of the sum 
   ii. the upper limit of the sum 
   iii. the explicit formula for the sum 
b. Additionally, calculate the total number of beads in the necklace and explain the method used to arrive at this total.

Anonymous · Accepted Answer

a.i. Lower limit = 0a.ii. Upper limit = 17a.iii. Explicit formula of the sum&#8321;&#8327;&Sigma;  (3+7i)&#869; &#8316;&#8304;b. Total number of beads = (3+7&bull;0)+ (3+7&bull;1)+ (3+7&bull;2)+ (3+7&bull;3)+ (3+7&bull;4)+ (3+7&bull;5)+ (3+7&bull;6)+ (3+7&bull;7)+ (3+7&bull;8)+ (3+7&bull;9)+ (3+7&bull;10)+ (3+7&bull;11)+ (3+7&bull;12)+ (3+7&bull;13)+ (3+7&bull;14)+ (3+7&bull;15)+ (3+7&bull;16)+ (3+7&bull;17) =(3+0)+ (3+7)+ (3+14)+ (3+21)+ (3+28)+ (3+35)+ (3+42)+ (3+49)+ (3+56)+ (3+63)+ (3+70)+ (3+77)+ (3+84)+ (3+91)+ (3+98)+ (3+105)+ (3+112)+ (3+119) =(3)+ (10)+ (17)+ (24)+ (31)+ (38)+ (45)+ (52)+ (59)+ (66)+ (73)+ (80)+ (87)+ (94)+ (101)+ (108)+ (115)+ (122) =1125....................ANS

Anonymous

Dante is making a necklace with 18 rows of tiny beads in which the

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