Use the integral test to determine whether each of the following series converges or diverges.

Use the integral test to determine whether each of the following series converges or diverges. For each, fill in the integrand and the value of the integral. Enter diverges if the integral diverges. Then indicate the convergence of the sum.

A. ∑𝑛=1∞16𝑛∑n=1∞16n 
Compare with ∫∞𝑐∫c∞  𝑑𝑛dn =  
(Evaluate your integral with bottom limit 𝑐=1c=1.) This sum 
A. converges 
B. diverges

 

B. ∑𝑛=1∞𝑛+7𝑛2+14𝑛+5∑n=1∞n+7n2+14n+5 
Compare with ∫∞𝑐∫c∞  𝑑𝑛dn =  
(Evaluate your integral with bottom limit 𝑐=1c=1.) This sum 
A. converges 
B. diverges