Etienne owns a small recycling company that picks up empty glass bottles from restaurants. At the first restaurant, he picks up 50 bottles. At each restaurant after this, he picks up 4 more bottles than he picked up at the restaurant before. Assume that this pattern continues.

Question

a) Write the first four terms of the arithmetic sequence that represents the number of bottles he picks up at a restaurant. (4 marks)
b) Determine a and d for the sequence. (2 marks)
c) How many bottles will he have picked up after stopping at the eighth restaurant? (2 marks) (show your work)
d) If his truck can hold 2000 empty bottles, will he be able to pick up bottles at the 21st restaurant without emptying the truck first?

Answer 1

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