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Science & Mathematics by Anonymous 2018-07-16 11:36:29
Social Science
3^(x-1) + 3^(x-2) + 3^(x-3) + 3^(x-4) + 3^(x-5) + 3^(x-6) = 364 What's x?
4 answers
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Anonymous
=[3^(x-1)][1-(1/3)^6]/(1-1/3)=364 => 728[3^(x-6)]/2=364 => 3^(x-6)=1 => (x-6)=0 => x=6
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Anonymous
The LHS of the given equation forms a G.P. with the common ratio r=1/3 => the sum=[3^(x-1)][1-(1/3)^6]/(1-1/3)=364 => 728[3^(x-6)]/2=364 => 3^(x-6)=1 => (x-6)=0 => x=6
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Anonymous
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Anonymous
sum_(n = 1)^(6) 3^(x - n) = 364; 364*(3^(x - 6)) = 364; 3^(x - 6) = 1; (x - 6)*ln(3) = 0; x - 6 = 0; x = 6
