Find the common ratio for the following geometric sequence:
1, 2, 4, 8, 16, . . .
Enter your answer here:
2
Right!
The student got this item correct.
1
Sorry, that's incorrect. Perhaps you calculated the second term minus the first term. But for this geometric sequence, the difference between successive terms is not the same. For example, 2 minus 1 is 1, but 4 minus 2 is 2. The ratio between successive terms is the same, however.
The student probably confused the common ratio of a geometric sequence with the common difference of an arithemetic sequence.
8
Sorry, that's incorrect. Perhaps you calculated the fifth term minus the fourth term. But for this geometric sequence, the difference between successive terms is not the same. For example, 2 minus 1 is 1, but 4 minus 2 is 2. The ratio between successive terms is the same, however.
The student probably confused the common ratio of a geometric sequence with the common difference of an arithemetic sequence.
Sorry, that was incorrect.
The student got this item incorrect, but it is not clear why.
CommonRatio