Arithmetic and Geometric Sequences as Functions
Algebra · Flashcards · Recall
ALGEBRA · FLASHCARDS
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QUESTION
What is the explicit formula for a geometric sequence written from term
a
k
a_k
a
k
instead of
a
1
a_1
a
1
?
QUESTION
What is the explicit formula for an arithmetic sequence written from term
a
k
a_k
a
k
instead of
a
1
a_1
a
1
?
QUESTION
What is the explicit formula for an arithmetic sequence with first term
a
1
a_1
a
1
and common difference
d
d
d
?
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ANSWER
a
n
=
a
1
+
(
n
−
1
)
d
a_n=a_1+(n-1)d
a
n
=
a
1
+
(
n
−
1
)
d
. Standard explicit form adds
(
n
−
1
)
(n-1)
(
n
−
1
)
copies of
d
d
d
to the first term.
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