Topic 10.2-10.3 Quick Check

 $\sum_{n=0}^{\infty}\frac{n}{n+1}$  

• Converges by nth term test

• Diverges by nth term test

• Converges by geometric series test

• Diverges by geometric series test

 $\sum_{n=1}^{\infty}\left(\frac{1}{2}\right)^n$  

• Converges by nth term test

• Diverges by nth term test

• Converges by geometric series test

• Diverges by geometric series test

 $\sum_{n=2}^{\infty}\frac{n}{\ln n}$  

• Converges by nth term test

• Diverges by nth term test

• Converges by geometric series test

• Diverges by geometric series test

 $\sum_{n=1}^{\infty}\left(\frac{6}{5}\right)^n$  

• Converges by nth term test

• Diverges by nth term test

• Converges by geometric series test

• Diverges by geometric series test

• Converges by nth term test

• Diverges by nth term test

• Converges by geometric series test

• Diverges by geometric series test

 $\sum_{n=1}^{\infty}\frac{n!}{4^n}$  

• Converges by nth term test

• Diverges by nth term test

• Converges by geometric series test

• Diverges by geometric series test

 $\sum_{n=1}^{\infty}\frac{6}{5^n}$  

• Converges by nth term test

• Diverges by nth term test

• Converges by geometric series test

• Diverges by geometric series test

 $\sum_{n=1}^{\infty}2\left(-1.45\right)^n$  

• Converges by nth term test

• Diverges by nth term test

• Converges by geometric series test

• Diverges by geometric series test

 $\sum_{n=1}^{\infty}2\left(\frac{5}{2}\right)^{-n}$  

• Converges by nth term test

• Diverges by nth term test

• Converges by geometric series test

• Diverges by geometric series test

 $\sum_{n=0}^{\infty}6$  

• Converges by nth term test

• Diverges by nth term test

• Converges by geometric series test

• Diverges by geometric series test