Arithmetic and Geometric Sequences as Functions
Algebra · Flashcards · Recall
ALGEBRA · FLASHCARDS
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QUESTION
What is the common ratio
r
r
r
in a geometric sequence in terms of consecutive terms
a
n
a_n
a
n
and
a
n
−
1
a_{n-1}
a
n
−
1
?
QUESTION
What is the recursive formula for an arithmetic sequence with first term
a
1
a_1
a
1
and common difference
d
d
d
?
QUESTION
What condition on consecutive differences identifies an arithmetic sequence?
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ANSWER
All
a
n
−
a
n
−
1
a_n - a_{n-1}
a
n
−
a
n
−
1
are equal. Constant differences between consecutive terms characterize arithmetic sequences.
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