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Let {a_n}_n=1 be a sequence such that a_1=1 , a_2=1 and a_(n+2)=2a_(n+1) + a_n for all n>=1. Then the value of 47S{a_n}/{8^n} is equal to

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Let {a_n}_n=1 be a sequence such that a_1=1 , a_2=1 and a_(n+2)=2a_(n+1) + a_n for all n>=1. Then the value of 47S{a_n}/{8^n} is equal to Read More »

Evaluate (0.7+0.77+0.777+…+upto n times)

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Evaluate (0.7+0.77+0.777+…+upto n times) Read More »

If x+y+z=12 and x^2+y^2+z^2=96 and {1}/{x}+{1}/{y}+{1}/{z}=36. Find the value of {x^3+y^3+z^3}/{4}.

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Question \(x + y + z = 12 \) , \(x^2 + y^2 + z^2 = 96 \) and \( \frac{1}{x} + \frac{1}{y} + \frac{1}{z} = 36\). Find the value of \( \frac{x^3 + y^3 + z^3}{4} \). Solution: we know , \((a + b + c)^2 = a^2 + b^2 + c^2 + 2(ab

If x+y+z=12 and x^2+y^2+z^2=96 and {1}/{x}+{1}/{y}+{1}/{z}=36. Find the value of {x^3+y^3+z^3}/{4}. Read More »

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