Geometric Sequences and Series
Geometric Sequences and Series
Find the next two terms in the geometric sequence shown below.
5, 15, 45, …
75, 105
135, 405
55, 65
675, 30375
Find the next two terms in the geometric sequence shown below.
16, 8, 4, …
2, 1
1, 0
2, ½
0,-4
Find three geometric means between 9 and 144.
42.75, 76.5, 110.25
2304, 36864, 589824
18, 36, 72
27, 81, 243
Write an equation for the nth term in the sequence.
200, 50, 12.5…
|
A. an = 200 • 4n – 1 |
| B. an = 200 • (-4)n – 1 |
| C. an = 200 • (-1/4)n – 1 |
| D. an = 200 • (1/4)n – 1 |
Find the 15th term in the geometric sequence shown below.
1, 3, 9,…
4782969
14348907
43
1594323
Find the sum for the geometric series shown below.
198.4375
96.875
196.875
396.875
Find the sum for the geometric series shown below.
126
124
252
254
If S6 = 189 and r = 2, what is a1?
9
6
3
3/2
If S8 = 1530 and r = 2, what is a1?
3
6
9
12
A portion of John’s parental family tree is shown below. Find a rule for the number of people in the nth generation.
| A. An = 2(2)n – 1 |
| B. An = 1(2)n – 1 |
| C. An = 2(2)n |
| D. An = 1(2)n |
