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10
What is the sum of the geometric series
6(2)^n n = 1?
This expression can be written as:Σ10i=1(6×2n)=6×Σ10i=12n
The last expression is a sum of a finite geometrical sequence for which: a1=2,q=2,n=10. This sum can be calculated as:S10=2×1−2101−2=2×210−12−1=2×(210−1)==2×1023=2046So the value of the first expression is: 6×2046=12276
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