Question

Question 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. ( No Plagiarism and only answer if you know how to work this problem out. Will Mark Brainliest).​

Answer 1

It's forming an A. P. because each succeeding Te rm increases by a common value i. e. 6 here.

The A. P is

22,28,34,.....

So the n th term will be represented as

a+(n-1)d,

where a=22

And d=6

Now in (b) part the n th term is given i. e. 100

So by putting in the given values we could easily found the value of n

n=(100-22)/6=78/6=13

So the 13th term will be 100

Hope You Got It.