6.10 Calcolare la somma delle seguenti serie geometriche $$ \begin{array}{ll} ext { (a) } \sum_{n=0}^{\infty} \frac{1}{2^{n}} & ext { (b) } \sum_{n=1}^{\infty} \frac{1}{2^{n}} \ ext { (c) } \sum_{n=0}^{\infty} 3^{n} & ext { (d) } \sum_{n=0}^{\infty}\left(\frac{4}{5} ight)^{n}\end{array} $$

Question

6.10 Calcolare la somma delle seguenti serie geometriche $$ \begin{array}{ll}	ext { (a) } \sum_{n=0}^{\infty} \frac{1}{2^{n}} & 	ext { (b) } \sum_{n=1}^{\infty} \frac{1}{2^{n}} \ 	ext { (c) } \sum_{n=0}^{\infty} 3^{n} & 	ext { (d) } \sum_{n=0}^{\infty}\left(\frac{4}{5}ight)^{n}\end{array} $$

Hall Nichols · Accepted Answer

- (a) $$ S = 2 $$ - (b) $$ S = 1 $$ - (c) $$ S = -\frac{1}{2} $$ - (d) $$ S = 5 $$

6.10 Calcolare la somma delle seguenti serie geometriche \( \begin{array}{ll}\text { (a) } \sum_{n=0}^{\infty} \frac{1}{2^{n}} & \text { (b) } \sum_{n=1}^{\infty} \frac{1}{2^{n}} \\ \text { (c) } \sum_{n=0}^{\infty} 3^{n} & \text { (d) } \sum_{n=0}^{\infty}\left(\frac{4}{5}\right)^{n}\end{array} \)

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6.10 Calcolare la somma delle seguenti serie geometriche \( \begin{array}{ll}\text { (a) } \sum_{n=0}^{\infty} \frac{1}{2^{n}} & \text { (b) } \sum_{n=1}^{\infty} \frac{1}{2^{n}} \\ \text { (c) } \sum_{n=0}^{\infty} 3^{n} & \text { (d) } \sum_{n=0}^{\infty}\left(\frac{4}{5}\right)^{n}\end{array} \)

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