The corner section of seats in a stadium contains 2 seats in the front row, 4 seats in the second row, 6 seats in the third row, etc. Each row has 2 more seats than the row in front of it. There are 2n seats in the nth row. How many total seats are in a corner section with n rows of seats?

n(n +1) is the Total number of seats in the corner section.

Step-by-step explanation:

We are given that:

Number of seats in first row = 2

Number of seats in second row = 4

Number of seats in third row = 6

:

Number of seats in row =

We can clearly see that it is an Arithmetic progression with

First term, a = 2

Common Difference, d = 2

term,

To find: Total number of seats in corner sections with n rows.

i.e. Sum of n terms of above AP.

Formula for sum of n terms of an AP:

Putting the values:

n(n +1) is the Total number of seats in the corner section.

1. minimum

2. 6400

3. eight

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