Write the Word or Phrase That Best Completes Each Statement $a _ { 1 } + a _ { 2 } + a _ { 3 } + \ldots + a _ { n }$

Short Answer

Write the word or phrase that best completes each statement or answers the question.
Provide the missing information.
-Suppose that an infinite series $a _ { 1 } + a _ { 2 } + a _ { 3 } + \ldots + a _ { n }$ approaches a value L as $n \longrightarrow \infty$ . Then the series________. Otherwise, the series________ .