Item: tExtendOtherRecursive1a

Stem:

Extend the following sequence by giving the next two terms:

1, 4, 9, 16, 25, ...

Inputs:

1. Enter your answers here:
2. and

Key:

• Observable: 36, 49. Score: 1; Evidence Value: 1.
  • Student:Right!
  • Teacher:The student got this item correct.
• Observable: 26, 27. Score: 0; Evidence Value: 0.
  • Student:Sorry, that's not right. For problems like these, you need to find the pattern based on the differences between all the pairs of numbers. The pattern may not be a single common difference, as with arithmetic sequences. The correct numbers are 36 and 49.
  • Teacher:The student seemed to have added 1 to get the next two numbers.
• Observable: 34, 43. Score: 0; Evidence Value: 0.
  • Student:Sorry, that's not right. For problems like these, you need to find the pattern based on the differences between all the pairs of numbers. The pattern may not be a single common difference, as with arithmetic sequences. The correct numbers are 36 and 49.
  • Teacher:The student seemed to have added 9 (the difference between 16 and 25) to get the next two numbers.
• Observable: 28, 31. Score: 0; Evidence Value: 0.
  • Student:Sorry, that's not right. For problems like these, you need to find the pattern based on the differences between all the pairs of numbers. The pattern may not be a single common difference, as with arithmetic sequences. The correct numbers are 36 and 49.
  • Teacher:The student seemed to have added 3 (the difference between 1 and 4) to get the next two numbers.
• Observable: . Score: 0; Evidence Value: 0.
  • Student:Sorry, that's not right. For problems like these, you need to find the pattern based on the differences between all the pairs of numbers. The pattern may not be a single common difference, as with arithmetic sequences. The correct numbers are 36 and 49.
  • Teacher:The student got this item incorrect.

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