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What is the next term of the geometric sequence? 72, 36, 18,

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1 answer:

Arlecino [84]3 years ago

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Answer:

Step-by-step explanation:

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Given that:

$f_x = \dfrac{x^2}{a^7-x^7}$

$= \dfrac{x^2}{a^7(1-\dfrac{x^7}{a^7})}$

$= \dfrac{x^2}{a^7}\Big(1-\dfrac{x^7}{a^7} \Big)^{-1}$

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Then, it implies that:

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$\mathbf{= \sum \limits ^{\infty}_{n=0} \dfrac{x^{7n+2}}{a^{7n+7}} }}$

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