Question

determine x na igualdade x+x/2+x/4+x/8+...=10

Answer 1

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P.G infinita onde a soma=10

$a_1= x \\ q= \frac{x}{2} \div x= \frac{\not x}{2} \times \frac{1}{\not x}= \frac{1}{2} \\ \\ Sn= \frac{a_1}{1-q} \\ \\ 10= \frac{x}{1- \frac{1}{2} } \\ \\ x=10(1- \frac{1}{2} ) \\ \\ x=10- \frac{\not10^5}{\not2} \\ \\ x=10-5 \\ \\ x=5 \\ \\ S=\{5\}$