contestada

The number of seats in each row of an auditorium increases by 2 from one row to the next. if there are 48 seats in the first row, how many seats are there in the 60th row?

Respuesta :

Let's see if we can find a pattern:

Row number 1 has [tex] 48 = 48 + 2\cdot 0 [/tex] seats

Row number 2 has [tex] 50 = 48 + 2\cdot 1 [/tex] seats

Row number 3 has [tex] 52 = 48 + 2\cdot 2 [/tex] seats

Row number 4 has [tex] 54 = 48 + 2\cdot 3 [/tex] seats

Can you see the pattern? After [tex] n[/tex] rows, we have added [tex] 2(n-1) [/tex] seats.

So, the 60th row will have

[tex] 48 + 2\cdot 59 = 48 + 118 = 166 [/tex]

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