Is the sequence -2, -1, -frac{1}{2}, -frac{1}{4}, cdots geometric? If so find the common ratio. If not, explain why

amanf

amanf

Answered question

2020-12-12

Is the sequence 2, 1, 12, 14,  geometric? If so find the common ratio. If not, explain why

Answer & Explanation

AGRFTr

AGRFTr

Skilled2020-12-13Added 95 answers

Step 1 To Determine: Given sequence is geometric or not. 2, 1, 12, 14,  Step 2 Explanation: When given sequence is geometric, it is must have common ratio. Common ratio is a ratio just divide each number from the number preceding it in the sequence. In given sequence, ratio of 1 & 2 is: 12=12
ratio of 1/2 & 1 is:
121=12
ratio of 14& 12 is:
1412=24=12 We see that, all ratio are same So, common ratio : r=12 It means given sequence is geometric sequence

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