askingALLthosQQ6144 askingALLthosQQ6144
  • 13-01-2021
  • Mathematics
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An auditorium has 40 seats in its first row. Each row after has 2 additional seats than the row before. Find the number of seats in the 75th row.

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adioabiola
adioabiola adioabiola
  • 14-01-2021

Answer:

188 seats

Step-by-step explanation:

First row = 40 seats

Each row after = 2 additional seats

This is an arithmetic progressive question

Therefore,

First term, a = 40

Common difference, d = 2

Find the number of seats in the 75th row.

Number of seats in the 75th row = a + (n-1)d

= a + (75-1)d

= a + 74d

= 40 + 74(2)

= 40 + 148

= 188 seats

Number of seats in the 75th row = 188 seats

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