Consider the Sequence Defined By $a _ { n } = ( - 1 ) ^ { n }$

Essay

Consider the sequence defined by $a _ { n } = ( - 1 ) ^ { n }$ . (n starts at 1)
(a) Write the first five terms of the sequence.(b) Determine the limit of the sequence.(c) Let $b _ { n } = \frac { a _ { n + 1 } } { a _ { n } }$ . Write the first five terms of this sequence.(d) Determine the limit of $b _ { n }$ .(e) Let $c _ { n } = \sum _ { k = 1 } ^ { n } a _ { k }$ . Write the first five terms of this sequence.(f) Determine the limit of $c _ { n }$ .