Arithmetic and Geometric Sequences as Functions
Algebra 2 · Flashcards
ALGEBRA 2 · FLASHCARDS
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QUESTION
Find the common difference
d
d
d
if an arithmetic sequence has
a
3
=
10
a_3=10
a
3
=
10
and
a
8
=
35
a_8=35
a
8
=
35
.
QUESTION
What is the explicit formula for the arithmetic sequence with
a
1
=
12
a_1=12
a
1
=
12
and
d
=
−
3
d=-3
d
=
−
3
?
QUESTION
Model: A population starts at
800
800
800
and grows by
6
%
6\%
6%
each year. What is
a
n
a_n
a
n
?
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ANSWER
a
n
=
800
⋅
1.06
n
−
1
a_n=800\cdot 1.06^{n-1}
a
n
=
800
⋅
1.0
6
n
−
1
. Geometric sequence: each year multiplied by growth factor
1.06
1.06
1.06
.
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