Jeff is designing the seating arrangement for a concert in his high school theater. To give everyone a good view, each row must have 5 more seats than the row before it, and the 1st row can only have 12 seats. Explain to Jeff how to create an equation to predict the number of seats in any row. Then, using your equation, show your work to determine the number of seats in row 25.

Respuesta :

Answer:

There will be 132 seats in row 25

Step-by-step explanation:

1st term = 12

common difference = 5

f(x) = 12 + 5(x - 1)

f(25) = 12 + 5(25-1)

f(25) = 12 + 5(24)

f(25)= 12+120

f(25)=132

There will be 132 seats in row 25

The number of seats is 137 with the general equation [tex](12+5n)[/tex] seats

General equation:

In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Let the row number is [tex]n[/tex]

The number of seats in the first row is 12

As per the plan, each row shall have 5 more seats.

So, in the first row seats=12

In the second row seats=[tex]12+5[/tex]

In the third row seats=[tex]12+2\times5[/tex]

[tex]n^{th}[/tex]  row seats=[tex]12+5n[/tex]

So, the number of seats in any row is [tex]12+5n[/tex]

Where [tex]n[/tex] is the row number

Now, for 25 rows, [tex]n=25[/tex] then,

The number of seats is,

[tex]12+5\times25=137[/tex]

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