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Question: this question is about geometric sequence the class voted this...

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This question is about geometric sequence, the class voted this question as one of the most difficult questions created, be sure to show all your working. The group decided to remind students that 

1/3 x 1/3 x 1/3 x 1/3 = 1/89 = (1/3)to the power of 4 

so multiply 4 lots of 1/3 this should help you with a strategy to solve this question 

the first term and common ratio of geometric sequence are 128 and 1/2 and the sum of first n terms is 254. 
Find the number of terms for this sum of the geometric sequence and the value of this term n(power of th) term

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