Posted by **Lindsay** on Tuesday, March 2, 2010 at 11:33pm.

The first row of a concert hall has 25 seats and each row after the first has one more seat than the row before it. There are 2 rows of seat. 1)Write a rule for the number of seats in the nth row.

2)35 students from a class want to sit in the same row. How close to the front can they sit?

- Math -
**Reiny**, Tuesday, March 2, 2010 at 11:45pm
The statement, "There are 2 rows of seat" , is confusing.

Is there a front row of 25, then an aisle, and another 25 seats for the entire first row ???

Please be more specific.

Once that is cleared it looks like a simple arithmetic sequence question

with

a = 25

d = 1

- Math -
**Lindsay**, Tuesday, March 2, 2010 at 11:46pm
Sorry...there are 32 rows of seats

- Math -
**Reiny**, Tuesday, March 2, 2010 at 11:58pm
Now it is very easy

t^{n} = a+(n-1)d

= 25 + (n-1)(1)

= 24 + n

so which row comes closest to 35 ?

24+n=n35

n=11

The 35 students can sit all in row 11

- Math -
**Lindsay**, Wednesday, March 3, 2010 at 12:04am
Thanks! I knew it was row 11 but didn't know how to write a formula to prove it...

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