Question

In an auditorium, there are 20 seats in the first row and 26 seats in the second row. The number of seats in a row continues to increase by 6 with each additional row.

(a) Write the recursive rule that represents the number of seats in each row.



(b) Write an explicit equation to model the sequence formed by the number of seats in each row. Show your work.



(c) Use the rule to determine which row has at least 100 seats.

Answer 1

Explanation:

Part A

The Recursive rule is

tn = t_(n-1) + 6

What this says in ordinary language is that the nth term = the n-1 term + 6

n≥2

Part B

The explicit equation is a little different. It makes use of the 20.

tn = 20 + (n-1)*6

Part C

20 26 32 38 .... 20 + (n - 1)* 6