Please someone help! I've been struggling with this assignment! SHOW ALL WORK. - Seats in a theater are curved from the front row to the back. The front row has 10 chairs, the second has 16 and the third has 22, and so on.
a) Write a recursive rule for this series:

b) Write an explicit rule for this series:

c) Using the explicit formula, find the number of chairs in row 5 (show work)

d) The auditorium can hold 17 rows of chairs. Write a sigma notation for this series, and then use either series formula to calculate how many chairs can fit in the auditorium.

The series:

This is an AP with the first term a₁ = 10 and common difference d = 6

a) Recursive formula:

b) Explicit formula:

c) n = 5 ⇒ a₅ = ?

d) S₁₇ = ?

Step-by-step explanation:

sn=15+(n-1)2

the 20th row n=20 so the seats are  

15+(20-1)(2)=53 seats

Explicit formula:

aₙ = a₁ + 6(n - 1)  ⇒ aₙ = 10 + 6n - 6  ⇒ aₙ = 6n + 4

Write a formula to illustrate this arithmetic sequence:

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )

this "question" looks more like a project is there any other info you can give me about this. it could be too complex for someone else to do on this website