Question

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.

Answer 1

Series

First row has 10
Each next row has 4 more than the previous

Answer 2

I think they want you to make a table with all the entries to 20 for the first part

Answer 3

Row ----------- Seats
1 10
2 14
3 18
. .
.
.
20 x

Answer 4

Ok what else

Answer 5

Are you familiar with 'Arithmatic sequence'

Answer 6

a series of numbers with a constant difference between them

Answer 7

Yes but i'm not sure how to apply it in this problem

Answer 8

the general form for this type is:

\[a _{n}=a _{1}+(n-1)*d\]

Answer 9

Any nth term is the first term + the number of rows before it (n-1) times the common difference between terms

Answer 10

They give you the first row has 10
\[a _{1}=10\]
and also the difference between consecutive terms d, is +4

Answer 11

The chairs in any nth row
\[a _{n}=10+4*(n-1)\]

Answer 12

is the first row number , plus, 4 times the number of rows before n

Answer 13

if you missed something let me know

Answer 14

Is that the whole thing

Answer 15

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"

Answer 16

number of chairs in the nth row

Answer 17

so the 20th row has, n=20

\[a _{20}=10+4*(20-1)\]

Answer 18

Is the answer 86

Answer 19

10 + 19*4