Please help!!
1. 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 iterative 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 100 seats. Show your work.
Please write step!THX!!

2. Seats in 100th Row = 813

3. Rule is:

Step-by-step explanation:

2. In an auditorium, there are 21 seats in the first row and 29 seats in the second row. The number of seats in a row continues to increase by 8 with each additional row. How would you find the 100th row?

We can take this as an arithmetic sequence, as the seats in next row is calculated by adding 8 to previous row

So here common difference will be 8

the first term is 21

the arithmetic sequence is given by:

Putting the values of a1 and d

for 100th row,

Putting n=100

3. The sequence 6, 18, 54, 162, … shows the number of pushups Kendall did each week, starting with her first week of exercising.

Give the rule you would use to find the 20th week.

Given sequence is:

6, 18, 54, 162, …

we can see that the common difference is not same so we will find the common ratio

The given sequence is a geometric sequence as r is same for consecutive terms

The geometric sequence is given by:

Hence,

2. Seats in 100th Row = 813

3. Rule is:

Keywords: Sequence, ratio

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

found it xd it ok yt