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Please help - geometric progression

Please help - geometric progression-example-1

1 Answer

5 votes

Answer:


(2560)/(93)

Explanation:


1+2+3+\cdots+10=(10+1)/(2)(10)=55 \\ \\ 1+(1)/(2)+(1)/(4)+\cdots+(1)/(512)=(1(1-(1/2)^(10))/(1-(1/2))=2(1-(1/2)^(10) \\ \\ (55)/(2(1-(1/2)^(10))=(2560)/(93)

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