Answer:
The first term is:
Step-by-step explanation:
The arithmetic sequence is defined by
where
is the first term
is the common difference
as
the 17th term of an arithmetic sequence is 51.
i.e. 
so
∵ 
, , 
∵ 
Therefore, the first term is:
The total area is 84m.
Work is in the image, feel free to ask if you don’t understand it.
Hope this helped :)
R is -6.
12 = -r +6
12 = 6 - r
12 - 6 = -r
6 = -r
r = -6
4 is on the y-intercept. the y axis is vertical and the x axis is horizontal.
We can write that as a function:
where 
is the number of price reductions. We can see that it is a quadratic function which has the biggest value at P = (p, q). It means that p is the number of reductions which results in the biggest profit.
It means that it's the best to make 2 price reductions for the company. The tickets should be sold for $200 - 2 * $20 = $160. It results in 2 * 50 more tickets sold which is 300 + 100 = 400.
Answer:
Ticket price: $160
Number of tickets: 400
