Algebra II Accelerated
Sequences & Series
Day 3 – Homework
Name: ________________________________________
Period: _________ Date: _____________________
Geometric Sequences WS
Determine whether each sequence could be geometric or arithmetic. If possible, find the common
ratio or difference and the next term.
1.-10, -12, -14, -16, …
2. , 1, 2, 3, …
3. -320, -80, -20, -5, …
4.
5. , 1, 2, 4, …
6. , ,
,
,
,
,…
,
,…
Find the indicated term of each geometric sequence.
7. 10th term of 2, 6, 18, 54, 162, …
8. 15th term of 5000, 500, 50, 5, 0.5, …
9. 8th term of -0.125, 0.25, -0.5, 1, -2, …
10. 25th term of -0.1, 0.4, -1.6, 6.4, …
Write the first 5 terms of each sequence.
11.
12.
and
13.
14.
and
Write a possible explicit rule for the nth term of each sequence.
15. 0, -2, -4, -6, -8, …
16.1, , ,
,
,…
17. 25, -5, 1, -0.2, …
18. The first term of a sequence is -3 and the difference between successive terms is 17. Find the 5th term
and the 12th term.
19. In a geometric sequence,
and
. Find
.