Consider the three infinite series below.
I. n=1∑∞(53)n
II. n=0∑∞(−1)n(32)n
III. n=1∑∞n1
For each series, analyze its behavior and provide clear reasoning in your responses.
a. Determine whether each series converges or diverges. Provide a concise justification for every conclusion you reach.
b. For every convergent series, state whether it is geometric or non-geometric and justify your classification based on the form of its terms.