Answer quickly in an auditorium, there are 22 seats in the first row and 28 seats in the second row. the number of seats in a row continues to increase by 6 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. use the formula an=a1+(n-1)(d) . (b) use the rule to determine how many seats are in row 12.

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.

step-by-step explanation: h: (- 3, 6)

m: (1, - 2)

o: (7, 6)

r: (- 9, - 2)

midpoint of hm: (- 1, 2)

midpoint of or: (- 1, 2)

therefore, b is the midpoint of both diagonals bisect each other !

to prove the diagonals are perpendicular, show that the product of the slopes = - 1

109 is the nearest whole number/final answer! : )