Hi

 geometric sequence { 2, - 1, 1/2...} r = -(1/2)



Note:  = 2/4 = 1/2



 =  1/8 

Answer by solver91311(24713)   (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



 

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