Write Explicit or Recursive Functions
Algebra · Flashcards · Application
ALGEBRA · FLASHCARDS
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QUESTION
What is the common ratio
r
r
r
for the geometric sequence
2
,
6
,
18
,
54
,
…
2,6,18,54,\dots
2
,
6
,
18
,
54
,
…
?
QUESTION
What is the recursive formula for "start with
1000
1000
1000
and increase by
8
%
8\%
8%
each step," using
P
(
0
)
P(0)
P
(
0
)
?
QUESTION
What is the recursive formula for "start with
9
9
9
and multiply by
−
2
-2
−
2
each step," using
a
1
=
9
a_1=9
a
1
=
9
?
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ANSWER
a
1
=
9
a_1=9
a
1
=
9
,
a
n
=
−
2
⋅
a
n
−
1
a_n=-2\cdot a_{n-1}
a
n
=
−
2
⋅
a
n
−
1
. Base case and rule for multiplying by -2 each step.
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