Arithmetic and Geometric Sequences as Functions
Algebra · Flashcards · Application
ALGEBRA · FLASHCARDS
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QUESTION
Identify the error: A student writes arithmetic explicit form as
a
n
=
a
1
+
n
d
a_n = a_1 + nd
a
n
=
a
1
+
n
d
. What is correct?
QUESTION
Find
a
6
a_6
a
6
for the geometric sequence
a
1
=
1
a_1 = 1
a
1
=
1
and
r
=
1
3
r = \frac{1}{3}
r
=
3
1
.
QUESTION
Model: A car value is
$
20,000
\$20{,}000
$20
,
000
and keeps
0.85
0.85
0.85
of its value yearly. Write
V
n
V_n
V
n
explicitly.
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ANSWER
V
n
=
20000
(
0.85
)
n
−
1
V_n = 20000\left(0.85\right)^{n-1}
V
n
=
20000
(
0.85
)
n
−
1
. Geometric sequence models exponential decay with factor
0.85
0.85
0.85
.
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