Unit 7, Activity 1, Arithmetic and Geometric Sequences with Answers
Blackline Masters, Advanced Math – PreCalculus
Page 221
Louisiana Comprehensive Curriculum, Revised 2008
1.
Find the first 4 terms of the given sequence and tell whether the sequence is
arithmetic, geometric, or neither.
a)
n
n
t
)
2
(
3
=
6, 12, 24, 48 geometric
b)
n
t
n
7
3
−
=
4, 11, 18, 25 arithmetic
c)
4
17
,
3
10
,
2
5
,
2
,
1
n
n
t
n
+
=
neither
2. Find the formula for
t
n
, and sketch the graph of each arithmetic or geometric sequence.
a) 8, 6, 4, 2,…
t
n
=10 – 2n
b) 8, 4, 2, 1, …
n
n
t
⎟
⎠
⎞
⎜
⎝
⎛
=
2
1
16
c) 24, 12, 6, 3,…
n
n
t
⎟
⎠
⎞
⎜
⎝
⎛
−
−
=
2
1
48
d)
1
6
1
6
1
2
5
6
,
,
,
−
−
−
…
t
n
n
=
−
1
2
1
3
3. A field house has a section in which the seating can be arranged so that the first row
has 11 seats, the second row has 15 seats, the third row has 19 seats, and so on. If there is
sufficient space for 20 rows in the section, how many seats are in the last row?
86 seats
4. A company began doing business four years ago. Its profits for the last 4 years have
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