1. Mark each statement True or False. Justify each answer. (a) The symbol Σ∞n-1 an is used to denote the sequence of partial sums of the sequence (an). (b) The symbol Σ∞n=1 an is used to denote the...

1. Mark each statement True or False. Justify each answer.

(a) The symbol Σ^∞
_n-1
a_n
is used to denote the sequence of partial sums of the sequence (a_n).

(b) The symbol Σ^∞
_n=1
a_n
is used to denote the limit of the sequence of partial sums of the sequence (a_n).

2. Mark each statement True or False. Justify each answer.

(a) Σa_n
converges iff lim a_n
= 0.

(b) The geometric series Σ rⁿ
converges iff | r |