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Online ProgramExtended Constructed Response A
Here are some reminders for when you are completing this Extended Constructed Response Task:
- Carefully read each part of the task before writing your response on a sheet of paper.
- Be sure to complete all parts of the task.
- Clearly explain your answer and show all your work.
- Your explanation can include words, tables, diagrams, or pictures.
- You may use a calculator and a ruler for this task.
Carlos wrote the following sequence of numbers on the black board:
2, 6, 18, 54, …
He explained that the rule for his pattern is “Multiply by 3”, since each number is 3 times as much as the number coming before it.
Carlos’s teacher then wrote a new sequence of numbers up on the board:
1, 4, 16, 64, …
Respond to the following questions using the pattern created by Carlos’s teacher.
• What is the rule for the pattern? Explain your reasoning.
• What would the next 2 numbers in the pattern be?
• Will the number 1,100 be part of the pattern? How do you know?