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Patterns in Art & Music
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Patterns in Art & Music
Complete each pattern and explain the rule where asked.
Spotting Sequence Rules
1.A drummer practises a beat count that goes 5, 8, 11, 14, __, __. Write the next two numbers and state how the sequence changes each time.
2.A design grows by tripling the number of small motifs: 2, 6, 18, 54, __, __. Write the next two terms and describe the rule.
3.Classify each pattern: Pattern A is 9, 13, 17, 21, … and Pattern B is 4, 12, 36, 108, …. Choose arithmetic or geometric for each.
Build and Use Patterns
4.Write the first five terms of an arithmetic sequence that starts at 6 and increases by 4 each time.
5.Write the first five terms of a geometric sequence that starts at 3 and is multiplied by 2 each time.
6.A mosaic artist places 5 tiles in the first row and adds 4 tiles to each new row. How many tiles are in each of the first five rows?
Patterns in Music
7.In a rhythm exercise, each note lasts twice as long as the previous one. If the first note lasts 2 beats, write the lengths of notes two to five.
8.Explain the difference between an arithmetic sequence and a geometric sequence.
9.Give one example of how a repeating or growing pattern could appear in art or music.
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