The seats at a local baseball stadium are arranged so that each row has five more seats than the row in front of it. If there are four seats in the first row, how many total seats are in the first 24 rows?

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susie098 susie098 · Answer 1 · 2016-07-21T06:17:20+02:00

# of seats in a row makes an arithmetic series chairs in the nth row.

an= 4 + 23*5=119

and the sum is

sn= (4+9) * 24/2 = 1476

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chisnau chisnau · Answer 2 · 2019-08-23T17:04:49+02:00

Answer:

There are 1476 seats in the first 24 rows.

Step-by-step explanation:

The seats at a local baseball stadium are arranged so that each row has five more seats than the row in front of it.

This question is based on arithmetic sequence equation.

[tex]An =A1+(n-1)d[/tex]

Here, a = 4 ; d = 5 ; n = 24

So, [tex]An =4+(24-1)5[/tex]

=> [tex]An=4+(23)(5)[/tex]

=> [tex]An=4+115[/tex]

We get An = 119

To get the total seats we will use the formula:

[tex]Sn=n(a1+an)/2[/tex]

=> [tex]Sn =24(4+119)/2[/tex]

=> [tex]Sn =24(123)/2[/tex]

Sn = 1476

Hence, there are 1476 seats in the first 24 rows.