what is the next term of the geometric sequence?
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Answer:
-2.5
Step-by-step explanation:
Term 2 is 1/2 of Term 1, but has switched signs. The same goes with Term 3 compared to Term 2. That means the common ratio here is -1/2. Now multiply 5 by -1/2 to get -2.5 as the next term of this sequence. (Extra: After that the next 6 terms would go as follows: 1.25, -0.625, 0.3125, -0.15625, 0.078125, and -0.0390625.)