SOLUTION: find the sum of the first five terms in the geometric series -3/2+1-2/3+... A. 55/54 B. -55/54 C. 55/27 D. -55/27 Thank you so much!!!! God Bless and Happy New Year!!!!

Algebra ->  Sequences-and-series -> SOLUTION: find the sum of the first five terms in the geometric series -3/2+1-2/3+... A. 55/54 B. -55/54 C. 55/27 D. -55/27 Thank you so much!!!! God Bless and Happy New Year!!!!      Log On

Hi,         

geometric series -3/2, 1,-2/3,+... 

 In this example r = -2/3







-3/2 + 1 + -2/3 + 4/9 - 8/27 = ( -81 + 54 -  36 + 24 - 16) /54 = -55/54