Honors Algebra II
Name: _____________________
Section 11.1-11.3 Review
Date: __________ Period: _____
1. Give the formula for the nth term:
Arithmetic Sequence
Geometric Sequence
2. Formula for one:
Arithmetic Mean
Geometric Mean
Find the next two terms and state if the sequence is arithmetic, geometric, or neither.
3. 5, 9, 13, 17, ________, ________
________________________
4. 256, 64, 16, 4, ________, ________
________________________
5. 4, ________, -4, -8, -12, ________
_________________________
6.
1 2 3 4
, , , _______, ________
12 13 14 15
3
1
1
3
7. 2 ,2 ,2 ,2 , _______, ________
_________________________
__________________________
Find the first 4 terms on the sequence with the given formula. State if the sequence is arithmetic,
geometric, or neither.
8. tn=2 n + 1
9. t n  2  3 n
10. t n  log 10 n
Find the formula for the nth term of the arithmetic sequence.
11. -6, -1, 4, 9,…
12. 13, 4, -5, -14, …
Find the specified term in the arithmetic sequence.
13. 3, 11, 19,...,t31
14. 17, 7, -3, ..., t1000
15. t2= 7, t4= 8, t1
16. t10= 41, t15= 61, t3
17. Find the arithmetic mean between  2 and 3 2
18. Find 3 arithmetic means between 15 and 45.
Find the formula for the nth term of the geometric sequence.
19. 500, 100, 20, 4
20. -1, 0.1, -0.01, 0.001
Find the specified term in the geometric sequence.
21. 5, 10, 20, 40,...,t12
22. 1, -3, 9, -27..., t8
23. t2= 8, t4= 72, t1
24. t3= -12, t6= 96, t9
25. Find the geometric mean of
3 and 3 3
26. Find two geometric means between -4 and 108.
Answers:
1. tn=t1+(n-1)d
t n  t1 r n 1
4. 1, ¼ geometric
2.
ab
, ab
2
5. 0, -16 arithmetic
8. 3, 5, 7, 9 arithmetic
3. 21, 25 arithmetic
6. 5/16, 6/17 neither
9. 6, 18, 54, 162, geometric
10. 1, 2, 3, 4 arithmetic
11. tn=5n-11
12. tn=22-9n
13. 243
15. 6.5
16. 13
17.
1
t n  500 
5
19.
n 1
 1
t n  1 
 10 
20.
22. -2187
23. 8/3
25. 3
26. 12, -36
7. 25, 27 geometric
2
14. -9973
18. 22.5, 30, 37.5
n 1
21. 10,240
24. -768