# SOLUTION: What is the fifth term in the geometric sequence which begins 2, - 1, 1/2?

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 Click here to see ALL problems on Vectors Question 392757: What is the fifth term in the geometric sequence which begins 2, - 1, 1/2? Found 2 solutions by ewatrrr, solver91311:Answer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website!  Hi geometric sequence { 2, - 1, 1/2...} r = -(1/2) Note: = 2/4 = 1/2 = 1/8 Answer by solver91311(16868)   (Show Source): You can put this solution on YOUR website! To get from 2 to -1, you had to multiply by -1/2. To get from -1 to 1/2, you had to multiply by -1/2. Clearly, the common ratio is -1/2. So, the 4th term has to be 1/2 times -1/2 = -1/4, and the fifth term is -1/2 times that... John My calculator said it, I believe it, that settles it