Question

An outdoor theater has 37 seats in the first row, 40 seats in the second row, and 43 seats in the third row. if this pattern continues, what is the total number of seats in the first 10 rows?

Answer 1

505 seat in the first 10 rows

37+40+43+46+49+52+55+58+61+64=505

Answer 2

For this case, the pattern to follow is given by:

`image`

Where,

n: number of rows

an: number of total seats.

We have then that for row number 10, we must replace the value of n = 10 in the given formula.

We have then:

`image`

For the rest of the rows we repeat the procedure obtaining:

1 37

2 40

3 43

4 46

5 49

6 52

7 55

8 58

9 61

10 64

Adding the number of seats in each row we obtain:

Total = 505

Answer:

The total number of seats in the first 10 rows is:

Total = 505