College Algebra & Trigonometry, 2018a

292 CHAPTER 6. SEQUENCES AND SERIES
For each of the given sequences - find a general term a n , and also find a recursive
definition for the sequence.
21) {6, 7, 8, 9, 10, ...} 22) {9, 11, 13, 15, 17, ...}
23) {1, 4, 7, 10, 13, ...} 24) {−5, 4, 13, 22, 31, ...}
25) {−2, 6, −18, 54, ...} 26) {5, −10, 20, −40, 80, ...}
27) {1, −1, −3, −5, −7, ...} 28) {−8, −15, −22, −29, ...}
29)
{ 5
2 , 5 4 , 5 8 , 5
16 , ... }
30)
{ 1
5 , 1 7 , 1 9 , 1
11 , ... }
31)
{
− 1 3 , 1 9 , − 1
27 , 1
81 , ... }
32)
{ 1
2 , −2 5 , 3 8 , − 4
11 , ... }
33) {5, −25, 125, −625, ...} 34)
{
1, − 1 4 , 1 9 , − 1
16 , 1
25 , ... }
35)
{1, 1 2 , 3, 1 4 , 5, 1 6 , ... }
36)
{ 2
3 , 9 4 , 8
27 , 81
16 , 32
243 ... }