1. The problem statement, all variables and given/known data Show that following statement is true: If Σa_n diverges, then Σ|a_n| diverges as well. 2. Relevant equations Comparison Test: If 0 ≤ a_n ≤ b_n for all n ≥ 1, and if Σa_n diverges, then Σb_n diverges as well. 3. The attempt at a solution I tried to prove the statement by using the Comparison Test with a_n = a_n and b_n = |a_n|, but the condition for the Comparison Test is that both sequences must be greater than or equal to zero, which is not true for this problem. I would like to know if using the Comparison Test is a right approach to prove this statement. Thank you in advance.