anonymous
  • anonymous
Andrea is designing the seating arrangement for a concert in her local park. To give everyone a good view, each row must have 4 more seats than the row bedore it and the 1st row can only have ten seats. Help Andrea plan the rest of the seating by solving for how many seats are in row 20. Then explain to Andrea how to create and equation to predict the number of seats in any row. Show your work, and use complete sentences.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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DanJS
  • DanJS
Series First row has 10 Each next row has 4 more than the previous
DanJS
  • DanJS
I think they want you to make a table with all the entries to 20 for the first part
DanJS
  • DanJS
Row ----------- Seats 1 10 2 14 3 18 . . . . 20 x

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anonymous
  • anonymous
Ok what else
DanJS
  • DanJS
Are you familiar with 'Arithmatic sequence'
DanJS
  • DanJS
a series of numbers with a constant difference between them
anonymous
  • anonymous
Yes but i'm not sure how to apply it in this problem
DanJS
  • DanJS
the general form for this type is: \[a _{n}=a _{1}+(n-1)*d\]
DanJS
  • DanJS
Any nth term is the first term + the number of rows before it (n-1) times the common difference between terms
DanJS
  • DanJS
They give you the first row has 10 \[a _{1}=10\] and also the difference between consecutive terms d, is +4
DanJS
  • DanJS
The chairs in any nth row \[a _{n}=10+4*(n-1)\]
DanJS
  • DanJS
is the first row number , plus, 4 times the number of rows before n
DanJS
  • DanJS
if you missed something let me know
anonymous
  • anonymous
Is that the whole thing
DanJS
  • DanJS
yeah, all that besides the chart, was for the.. "Then explain to Andrea how to create and equation to predict the number of seats in any row"
DanJS
  • DanJS
number of chairs in the nth row
DanJS
  • DanJS
so the 20th row has, n=20 \[a _{20}=10+4*(20-1)\]
anonymous
  • anonymous
Is the answer 86
DanJS
  • DanJS
10 + 19*4

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