SOLUTION: For which values of x will (-3x+5/2)+(-3x+5/2)²+(-3+5/2)³+.... be a converging series?

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Question 1176165: For which values of x will
(-3x+5/2)+(-3x+5/2)²+(-3+5/2)³+....
be a converging series?

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


A geometric series will converge whenever the common ratio is between -1 and 1.







(switch the direction of the inequality when dividing by a negative)



ANSWER: The series will converge for any values of x between 1/2 and 7/6.


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