A wedding reception venue advertises all-inclusive venue hire and catering costs of…
MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series
Problem
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.
(1) Write a formula for the general term un of the sequence.
(2) Explain the significance of:
- the common difference
- the constant term.
(3) Estimate the cost of venue hire and catering for a reception with 85 guests.