Follow number algorithms, use decision rules and describe the resulting patterns.
Example 1
Follow this algorithm: start at 7; double the number; double it again; stop. Which number do you finish with?
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Answer: 28
- First double: 7×2=14.
- Second double: 14×2=28.
Example 2
An algorithm produces 3,13,23,33. It uses the same addition step each time. Which instruction continues this pattern?
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Answer: Add 10 each time
- Each difference is 10:13−3=10.
- The repeating instruction is add 10 each time.
Example 3
Follow this algorithm: start at 3; double the number; double it again; stop. Which number do you finish with?
Show worked answer
Answer: 12
- First double: 3×2=6.
- Second double: 6×2=12.