SOLUTION: The boats have lined up for the Regatta. The boats are lined up by size, smaller boats first. There are 102 canoes in the first row, 93 power boats in the second row, 84 catamara

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Question 1100233: The boats have lined up for the Regatta. The boats are lined up by size, smaller boats first. There are 102 canoes in the first row, 93 power boats in the second row, 84 catamarans in the third row, etc. The final row is row #11 and it is for the big yachts.

a. Use the formula for the nth term of an arithmetic sequence to determine the number of yachts in row #11.
b. Use the formula for the sum of an arithmetic sequence to determine the total number of boats in the 11 rows.
Answer by ikleyn(52932)   (Show Source): You can put this solution on YOUR website!
.
Arithmetic progression. First term 102. The common difference 9. The number of terms is 11, according to the condition. 

a.  The number of yachts in row 11 is    = 102 - (11-1)*9 = 102 - 90 = 12.


b.  The total number of boats in all 11 rows is

     =  = 627.


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There is a bunch of lessons on arithmetic progressions in this site:
    - Arithmetic progressions
    - The proofs of the formulas for arithmetic progressions
    - Problems on arithmetic progressions
    - Word problems on arithmetic progressions
    - Mathematical induction and arithmetic progressions
    - One characteristic property of arithmetic progressions
    - Solved problems on arithmetic progressions


Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Arithmetic progressions".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.



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