Question

in a theater there are 12 seats on the first row and 16 seats on the second row. The number of seats in a row continues to increase by 4 with each additional row.
A. Write an explicit rule to model the sequence formed by the number of seats in each row. Show your work.
B. Use the rule to determine which row has 60 seats. Show your work.
I will mark branliest!!!!!!!!! PLEASE HELP

Answer 1

(A ) The sequence formed is an arithmetic progression, that is

12, 16, 20, 24, .....

the n th term of an arithmetic progression is

$a_{n}$ = $a_{1}$ + (n - 1 )d

where d is the common difference and $a_{1}$ the first term

d = 16 - 12 = 20 - 16 = 24 - 20 = 4 and $a_{1}$ = 12

$a_{n}$ = 12 + 4(n - 1 ) = 12 + 4n - 4 = 4n + 8 ← explicit rule

(B)

solve 4n + 8 = 60 ( subtract 8 from both sides )

4n = 52 ( divide both sides by 4 )

n = 13 ← row 13 has 60 seats