Change in Arithmetic and Geometric Sequences
AP Precalculus · Flashcards · Recall
AP PRECALCULUS · FLASHCARDS
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QUESTION
Describe the sequence
7
,
21
,
63
,
...
7, 21, 63, \text{...}
7
,
21
,
63
,
...
QUESTION
What type of sequence is
a
n
=
5
n
a_n = 5n
a
n
=
5
n
?
QUESTION
State the formula for the sum of the first
n
n
n
terms of an arithmetic sequence.
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ANSWER
S
n
=
n
2
(
a
1
+
a
n
)
S_n = \frac{n}{2} (a_1 + a_n)
S
n
=
2
n
(
a
1
+
a
n
)
. Uses the average of first and last terms, multiplied by number of terms.
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