Increasing Row Size

In summary, the concert hall has a total of 3,100 seats. This can be calculated by using the formula for a geometric series, where the number of seats in each row increases by a constant proportion of 10%. The first row has 100 seats and the number of seats in each subsequent row can be calculated using the formula 100*(1.1)^n, where n is the row number. To find the total number of seats, we can use the formula for a finite geometric series, which is S = a(1-r^n)/(1-r), where S is the sum, a is the first term, and r is the common ratio. Plugging in the values, we get S = 100*(1
  • #1
Blueshy
3
0
Increasing Row Size...

Homework Statement


There are 150 rows at a concert hall. Each row you move back there is an increase of 10% in the number of seats. The first row has 100 seats. How many seats are there in the concert hall?

Homework Equations


I don't know the equation to represent this change.

The Attempt at a Solution


Obviously I could go through and do each rows amount of seats, but I'd like to know the equation that will solve this. Is it n(n+1)/2?
 
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  • #2
It's called a geometric series. The number of seats in the nth row is 100*(1.1)^n (where n=0 is the first row). Now find a reference and look for 'geometric series'.
 
  • #3
Blueshy said:

Homework Statement


There are 150 rows at a concert hall. Each row you move back there is an increase of 10% in the number of seats. The first row has 100 seats. How many seats are there in the concert hall?

Notice that the number of seats in each successive row increases by a constant proportion, that is, each row has 1.10 times as many seats as the preceding row. What kind of a sequence is this?

If you have to add a finite number of terms of a sequence of this type, what formula do you use?
 

What is the purpose of increasing row size?

Increasing row size allows for more data to be stored in a single row of a database table. This can be useful for large datasets or when data needs to be stored in a specific format.

How do you increase row size in a database?

The method for increasing row size varies depending on the type of database being used. In most cases, it involves altering the table structure and specifying a new maximum row size. This can be done through SQL commands or through the database management system's interface.

What are the benefits of increasing row size?

In addition to allowing for more data to be stored, increasing row size can also improve database performance by reducing the need for multiple rows or tables to store data. It can also make data retrieval and analysis more efficient.

Are there any potential drawbacks to increasing row size?

Increasing row size can potentially lead to longer database queries and slower performance if not managed properly. It can also make it more difficult to maintain data integrity and can increase the risk of data corruption.

Is there a limit to how much row size can be increased?

Yes, there are limits to how much row size can be increased depending on the specific database and its settings. It is important to consider the storage capacity and performance limitations of the database when determining the appropriate row size.

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