#1. \( \sum\limits_{k=-1}^{\infty} \frac{log(k)}{2^k} \)

#2. \( \sum\limits_{k=-2}^{\infty} \frac{6^{{k-1}}}{4^{{k}}} \)

#3. \( \sum\limits_{k=1}^{\infty} [cos(-5)]^{{k-1}} \)

#4. \( \sum\limits_{k=-1}^{\infty} \frac{(-3)^{{k-1}}}{5^{{k+2}}} \)

#5. \( \sum\limits_{k=-2}^{\infty} \frac{e^k}{3^k} \)

#6. \( \sum\limits_{k=-1}^{\infty} \frac{[cos(-6)]^{{k+1}}}{(-7)^{{k-2}}} \)

#7. \( \sum\limits_{k=1}^{\infty} \frac{4^k+2}{e^k} \)

#8. \( \sum\limits_{k=-2}^{\infty} \frac{9k}{2^k} \)

#9. \( \sum\limits_{k=1}^{\infty}\ln\left(k+1\right)-\ln\left(k+2\right)\)

#10. \( \sum\limits_{k=1}^{\infty} \frac{1}{k^{\frac{7}{3}}} \)