#1. \( \sum\limits_{k=0}^{\infty} \frac{4^k}{cos(k)} \)

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

#3. \( \sum\limits_{k=1}^{\infty} \frac{-2}{k^{\frac{6}{5}}} \)

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

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

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

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

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

#9. \( \sum\limits_{k=1}^{\infty} \frac{4^k}{sin(k)} \)

#10. \( \sum\limits_{k=2}^{\infty} \frac{4^k}{ln(k)} \)