Which of the following are geometric sequences? 1) 9,−92,94,−98,916,… 2) 6,−4,83,−169,3227,… 3) 4,6,8,10,12,… 4) 8,24,72,−216,648,…5) 3,32,2,52,3,…

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Izabella Spears · Accepted Answer

1) 9,−92,94,−98,916,…Here, a2a1=−929a3a2=94−92=−4746a4a3=−9894=−4947As ratio is not the same, the sequence is not a geometric sequence. 2) 6,−4,83,−169,3227,…Here, a2a1=−46=−23a3a2=83−4=−834a4a3=−16983=−16983The ratio is not the same, thus, the sequence is not a geometric sequence. 3) 4,6,8,10,12,…a2a1=64=32a3a2=86=43a4a3=108=54Ratio is not the same, thus, the sequence is not geometric 4) 8,24,72,−216,648,…a2a1=248=3a3a2=7224=3a4a3=−21672=−3a5a4=648−216=−3Ratio is not the same, so the sequence is not geometric5) 3,32,2,52,3,…a2a1=323=323a3a2=232a4a3=522a5a4=352As ratio is not the same, the sequence is not geometric. Thus, none of the sequence is geometric.

Emmy Dorsey · Accepted Answer

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Which of the following are geometric sequences? 1)

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