Name:_________________________
Block:________
Practice Quiz 12.1-12.5
1. An arithmetic sequence is defined as
an = 3n - 16. Which term number has
a value of 104?
1
a  3 
2. If n
2
4. What is the rule for a sequence whose first
term is –4 and whose common difference is 7?
n 1
, what is a4 ?
7
5. What is the value of
 2(
i 1
3. If in an arithmetic sequence
a8  3, a11  9 , what are the first four
terms of the sequence?
1 i 1
3
)
?
6. What is the sum of the first 10 terms of the
series below?
2 , 11, 20, 29 …
7. Decide whether each sequence is Arithmetic, Geometric or neither. State what is d or r if it exists.
Put N/A on any line that does not apply.
2 3 4 5
5
5 5 5
, , , ...
A G n
,
,
...
A G n
3 4 5 6
2 6 18 54
19, 13, 7, 1,-5 …
r_______, d_______
A G n
2, 5, 8, 12, 15….
r_______, d_______
A G n
r_______, d_______
r_______, d_______
Write the explicit rule for a sequence given the following information.
9. 162, -54, 18, -6…
8. arithmetic; a7 = 31; a20  96
Find the sum of the first ten terms for each sequence below. Show formula and information you are
plugging in OR write the summation notation.
10. 2, 11, 20, 29, …
11. 3, 6, 12, 24, …
Information I found from the sequence:
Information I found from the sequence:
Formula or summation notation:
Formula or summation notation:
Sum of the first 10 terms:
Sum of the first 10 terms:
Find the sum, if it exists. Leave answers as reduced fractions.

13. 1  5  25  125  625...
12.  2(.4)i 1
i 1
Expand and evaluate the sum
5
14.
 4i
i 2
How many terms are there in each
summation?
28
15.
  4i  3
i 6
Write the first 5 terms of the sequence
16. an  an1  9 , a1  37
17. an 
an 1
, a1  3
n
Write recursive rule for the sequence:
18. 2, 7, 12, 17, 22
Write the series using sigma notation:
20.
-13, -10, -7, -4 …
19.
3 3 3 3 3
, , , ,
5 10 20 40 80
21.
Rule:
3 3 3
3, , , ...
2 4 8
Lower limit:
Rule:
Upper limit:
Lower limit:
Upper limit:
Sigma notation:
_________________
Sigma notation:
_________________