Consider the Sequence Defined By $a _ { n } = \left( \frac { 2 } { 3 } \right) ^ { n }$

Essay

Consider the sequence defined by $a _ { n } = \left( \frac { 2 } { 3 } \right) ^ { n }$ . (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 $b _ { n }$ .