Answer:
- -2; 48, -96, 192
- 5; -625, -3125, -15625
- -1/3; 1/9, -1/27, 1/81
- 1/2; -5/16, -5/32, -5/64
Step-by-step explanation:
If there is a common ratio it can be found by dividing any term by the one before it.
1. The common ratio is -6/3 = -2.
The following three terms can be found by multiplying the last given term by this number, then repeating that process two more times.
The next three terms are (-24)(-2) = 48; (48)(-2) = -96; (-96)(-2) = 192
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2. The common ratio is -5/-1 = 5
3. The common ratio is -3/9 = -1/3
4. The common ratio is (-5/2)/(-5) = 1/2
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Note that the signs of the terms of the sequence alternate when the common ratio is negative.
