We have given $a_1$ = 3 , $a_n$ = $3a_{n-1}$ + 2 ⇒ $a_1$ = 3, $a_2$ = $3a_1$ + 2 = 3·3 + 2 = 9 + 2 = 11, $a_3$ = $3a_2$ + 2 = 3·11 + 2 = 33 + 2 = 35, $a_4$ = $3a_3$ + 2 = 3 ·35 + 2 = 105 + 2 = 107, $a_5$ = $3a_4$ + 2 = 3·107 + 2 = 321 + 2 = 323 Hence the first five terms of the sequence are 3, 11, 35, 107, 323. The corresponding series is 3 + 11 + 35 + 107 + 323 +.......