Question

The front row of an auditorium has 23 seats and each subsequent row has 4 more
seats than the row before it. a) Write an explicit rule to model this sequence.
b) If there are 11 rows in the auditorium, how many seats are there altogether?
Show your work clearly.
CAN SOMEBODY PLEASE ANSWER!!!​

Answer 1

Answer:

2) 473

Step-by-step explanation:

first question:

a2 - a1 = d

a2 - a1 = 4

a2 - 23 = 4

a2 = 4 + 23 = 27

tn = a+(n-1)d

tn=23+(n-1)4

second question:

formula Sn= n/2(2a+(n-1)d)

n= 11

= 11/2 (2(23) + (11-1) 4)

= 11/2 (46 + (10) 4)

= 11/2 (46+40)

= 11/2 (86)

= 946/2

= 473

The total no of seats at the auditorium is 473