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Assume that the following table continues forever, to the nth row. (Do not write in the chart below. A duplicate chart has been provided for your use.)

Column A
Column B
Column C
Row 1
1
6
-2
Row 2

1/2
5 1/2
-2 1/2
Row 3
1/3
5 1/3
-2 2/3
Row 4
?
5 1/4
-2 3/4
Row 5
1/5
?
?
...
...
...
...
Row 100
?
?
?
Row n
?
?
?

A) Complete rows 4 and 5 in the duplicate chart provided.

B) What numbers belong in row 100? Write your answers in the chart provided.

C) Write expressions to determine the values of the nth row, for columns A, B, and C.

D) What number do the values of column A approach? What number do the values of column C approach? Explain your answers or show what the values approach on a number line to support your answer.

Materials/Resources

  • Calculator
  • HSPA Mathematics Reference Sheet

Techniques for PAT Scoring:
See item-specific sample response and scoring rubric A1108-007R for this PAT.

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