A wedding reception venue advertises all-inclusive venue hire and catering costs of €6950 for 50 guests or €11 950 for 100 guests. Assume that the cost of venue hire and catering for n guests forms an arithmetic sequence.
a. a Write a formula for the general term un of the sequence.
b. b Explain the significance of:
- i the common difference
- ii the constant term.
c. c Estimate the cost of venue hire and catering for a reception with 85 guests.