Thesolutionssolutionsto Thetogivanen=recurrence−3an−1 +Relation?18an−2 Have the Form $$a _ { n } = c \cdot 3 ^ { n } + d \cdot ( - 6 ) ^ { n }$$

Short Answer

Thesolutionssolutionsto thetogivanen=recurrence−3an−1 +relation?18an−2 have the form $$a _ { n } = c \cdot 3 ^ { n } + d \cdot ( - 6 ) ^ { n }$$ Which of the following are (a) $a _ { n } = 3 ^ { n + 1 } + ( - 6 ) ^ { n }$ .
(b) $a _ { n } = 5 ( - 6 ) ^ { n }$ .
(c) $a _ { n } = 3 c - 6 d$ .
(d) $a _ { n } = 3 ^ { n - 2 }$ .
(e) $a _ { n } = \pi \left( 3 ^ { n } + ( - 6 ) ^ { n } \right)$ .
(f) $a _ { n } = - 3 ^ { n }$ .
(g) $a _ { n } = 3 ^ { n } \left( 1 + ( - 2 ) ^ { n } \right)$
(h) $a _ { n } = 3 ^ { n } + 6 ^ { n }$ .