Item: tExtendGeometric3a
Stem:
If 3 is the first term, what is the 10th term in the following sequence?
3, 9, 27, 81, 243, ...
Inputs:
- Enter your answer here:
Key:
- Observable: 59049.
Score: 1;
Evidence Value: 1.
-
Student:Right!
-
Teacher:The student correctly found the 10th term of a geometric sequence.
- Observable: 729.
Score: 0;
Evidence Value: 0.
-
Student:That's incorrect, but you are close. You correctly identified the rule for generating successive terms in the sequence, but you found the next term, instead of the 10th term.
-
Teacher:The student found the next term of a geometric sequence, instead of the 10th term.
- Observable: 19683.
Score: 0;
Evidence Value: 0.
-
Student:That's incorrect, but you are close. You correctly identified the rule for generating successive terms in the sequence, but you found the 9th term, instead of the 10th term.
-
Teacher:The student found the 9th term of a geometric sequence, instead of the 10th term.
- Observable: 177147.
Score: 0;
Evidence Value: 0.
-
Student:That's incorrect, but you are close. You correctly identified the rule for generating successive terms in the sequence, but you found the 11th term, instead of the 10th term.
-
Teacher:The student found the 11th term of a geometric sequence, instead of the 10th term.
- Observable: 249.
Score: 0;
Evidence Value: 0.
-
Student:Sorry, that's incorrect. It looks like you found the difference between the first two terms in the sequence, and added this value to the 5th term. But this is a geometric sequence, so you should multiply to find successive terms. Also, you are looking for the 10th term, rather than the next term.
-
Teacher:The student may have misidentified the sequence as arithmetic instead of geometric. Also, the student may have tried to generate the next term, instead of the 10th term.
- Observable: 273.
Score: 0;
Evidence Value: 0.
-
Student:Sorry, that's incorrect. It looks like you found the difference between the first two terms in the sequence, and added this value to generate successive terms. But this is a geometric sequence, so you should multiply to find successive terms.
-
Teacher:The student may have misidentified the sequence as arithmetic instead of geometric.
- Observable: .
Score: 0;
Evidence Value: 0.
-
Student:Sorry, that was incorrect.
-
Teacher:The student got this item incorrect.
Metadata:
Item Node: tExtendGeometric3a,
Difficulty: 3.
Proficiencies: ExtendGeometric.