Urgent!!

1. Find the errors of this problem, solve correctly and explain your reasoning.
Determine whether the sequence converges or diverges. How do you know if it converges or diverges?
[tex]1+5+25+...[/tex]
Answer:
Converges because it has a sum and [tex]r\ \textgreater \ 1[/tex]

2. State whether the following statement is true or false. Be sure to explain your reasoning.
An Infinite Geometric Series will never have a sum because the list of numbers will never end so how can you add an infinite list of numbers.