Find the common ratio for the following geometric sequence:
1.92, 0.96, 0.48, 0.24, 0.12, . . .
Enter your answer here:
0.5
Right!
The student got this item correct.
-0.96
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, 0.96 minus 1.92 is -0.96, but 0.48 minus 0.96 is -0.48. 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.
-0.12
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, 0.96 minus 1.92 is -0.96, but 0.48 minus 0.96 is -0.48. 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