Algebra 2
Review 12.1-12.3
Name___________________
Period ____________
Tell whether the sequence is arithmetic, geometric, or neither.
1. 3, 6, 12, 24,….
2.
5, 9, 13, 17,…
3. 40, 10, 5/2, 5/8,…
Write the first 4 terms of the sequence.
4. a n  6  n 2
5. a n  4 n 1
For questions 6 and 7, use the given sequence to answer parts a-c. Hint: start by
writing the term number for each term before writing the rule.
6.
6 7 8 9
, , ,
5 10 15 20
7.
1 2 3 4
, , ,
2 3 4 5
a.) What is the next term?
a.) What is the next term?
b.) Write a rule for the nth term.
b.) Write a rule for the nth term.
c.) Find a10.
c.) Find a10.
Find the sum of the series.
5
8.  i
i 1
8
9.  2k  4
k 3
10. What is the definition of an arithmetic sequence and a geometric sequence? What do
the graphs look like?
Write a rule for the nth term of the arithmetic sequence using the given information.
Remember: an  a1  d (n  1)
11. 8, 5, 2, -1, -4
12. a4= 27, a11 = 69
13. Why do we find the nth term of an equation?
Write a rule for the nth term of the geometric sequence using the given information.
Remember: an  a1  r ( n 1)
14. 256, 64, 16, 4, 1
15. r = 5 , a2= 200
𝒏
𝒏
𝒊=𝟏
𝒊=𝟏
𝒏(𝒏 + 𝟏)
𝒏(𝒏 + 𝟏)(𝟐𝒏 + 𝟏)
∑𝒊 =
, ∑ 𝒊𝟐 =
𝟐
𝟔