Suppose the geometric series
By considering the graph
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Trigonometry, 2ADV T2 2004 HSC 9a
Consider the geometric series
- When the limiting sum exists, find its value in simplest form. (2 marks)
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- For what values of
in the interval
does the limiting sum of the series exist? (2 marks)
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Trigonometry, 2ADV T1 2005 HSC 9b
The triangle
- Find the length of the interval
, and hence show that the length of the interval is . (2 marks)
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- Show that the limiting sum
is given by. (3 marks)
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Show Worked Solution
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ii.
Probability, 2ADV S1 2013 HSC 15d
Pat and Chandra are playing a game. They take turns throwing two dice. The game is won by the first player to throw a double six. Pat starts the game.
- Find the probability that Pat wins the game on the first throw. (1 mark)
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- What is the probability that Pat wins the game on the first or on the second throw? (2 marks)
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- Find the probability that Pat eventually wins the game. (2 marks)
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