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4. An Ontario lottery has the following structure, the first person drawn from the names wins $14 000. Each subsequent person drawn wins $250 less than the person before. The last person drawn wins $8000. a) Write the first four terms of the sequence that represents the winnings. [1] b) Determine a and d for the sequence. [2] c) Determine an explicit formula for the general term. [2] 5. A rock is thrown into the air from the Golden Gate Bridge and falls into the water below. The height of the rock, h metres, relative to the water t seconds after being thrown is given by h =-5 + 20t+10. la) Find the maximum height the rock reaches. Show your algebraic work. [3] [1] b) How long does it take the rock to reach this height? c) Correct to one decimal point, how long does it take the rock to reach the water? [2]