WILL GIVE BRAINLIEST ANSWER AND 45 POINTS FOR ANSWERING!!!

Chairs for an orchestra are positioned in a curved form with the conductor at the center. The front
row has 16 chairs, the second has 20 and the third has 24, and so on.

Write a recursive rule for this series

Write an explicit rule for this series

How many chairs will there be in row 8 (show work)

The auditorium can hold 12 rows of chairs. Write a summation notation for this series, expand it, and then
calculate how many chairs are available for the orchestra.

Every row has 4 chairs more than the row in front.

Rn = R(n - 1) + 4

When Rn is the no. of row

Rn = 16 + (n - 1)(4)

Rn = 12 + 4n

n = 8

R8 = 12 + 4(8) = 44 seats

Summation(12 + 4n),

Where n is from 1 till 12

= summation(12) + 4×summation(n)

= 12N + 4 × (N)(N+1)/2

= 12N + 2N(N+1)

N = 12

12(12) + 2(12)(13)

456 seats

16,20,24,28,32,36,40,44,48,52,56,60 there will be 44 chairs in the 8th row and in the 12th row there will be 60 chairs available in the orchestra.

I'm so sorry but I'm not capable to do a recursive rule, an  explicit rule, or a summation notation

Step-by-step explanation: