Sequences as Functions and Recursion
Algebra · Flashcards · Application
ALGEBRA · FLASHCARDS
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QUESTION
Find
a
3
a_3
a
3
if
a
0
=
4
a_0=4
a
0
=
4
and
a
n
=
a
n
−
1
−
n
a_n=a_{n-1}-n
a
n
=
a
n
−
1
−
n
for
n
≥
1
n\ge 1
n
≥
1
.
QUESTION
What is
a
6
a_6
a
6
for the explicit sequence
a
n
=
n
2
a_n=n^2
a
n
=
n
2
?
QUESTION
What is
a
4
a_4
a
4
for the explicit sequence
a
n
=
2
n
a_n=2^n
a
n
=
2
n
with domain
n
≥
0
n\ge 0
n
≥
0
?
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ANSWER
a
4
=
16
a_4=16
a
4
=
16
. Substituting
n
=
4
n=4
n
=
4
into the explicit formula:
a
4
=
2
4
=
16
a_4=2^4=16
a
4
=
2
4
=
16
.
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