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Chapter 8 - Predicting What Comes Next: Exploring Sequences & Progress | 5 questions | about 4 minutes

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Question 1 of 5
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Question 1 of 5
A machine records values using the recursive rule \(t_1=-4\) and \(t_n=t_{n-1}+7\). What value will it record at Step \(20\)?
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Question 2 of 5
A Sierpiński square carpet begins with \(1\) red square at Stage \(0\). At each stage, every red square is replaced by \(8\) smaller red squares. How many red squares are present at Stage \(4\)?
Early stages of a Sierpiński square carpetStage zero is a solid square. Stage one has the centre ninth removed. Stage two repeats the removal in each retained square.Stage 0Stage 1Stage 2
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Question 3 of 5
Which sequence is a geometric progression with common ratio \(\dfrac23\)?
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Question 4 of 5
The Stage \(0\) Sierpiński square carpet has area \(1\) square unit. At each stage, \(\dfrac89\) of the previous red area remains. What is the red area at Stage \(3\)?
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Question 5 of 5
The sequence is \(1, 4, 7, 10, 13, \ldots\). Which option gives the next four terms?
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