SOLUTION: 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... Use summation notation to write the series. Explain

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Question 854831: 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...
Use summation notation to write the series. Explain what the numbers in the summation notation represent in the situation and how you found the expression used in the summation. Find the total number of beads in the necklace. Explain.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

3+10+17+24...  d = 7  a%5Bn%5D+=+3+%2B+%28n-1%297+=+7n+-+4

sum%28a%5Bn%5D%2C+n=1%2C18+%29=+sum%287n+-4%2C+n=1%2C+18%29+  18 rows, 7n-8 beads in each row

a%5B18%5D+=+7%2A18+-+4+=+119+

sum%287n+-4%2C+n=1%2C+18+%29=+%28n%28a%5B1%5D%2Ba%5B18%5D%29%29%2F2%29 = 9(3+119) = 1098,the total number of beads in the necklace