Working with Geometric Series
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
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QUESTION
Find the sum of the infinite series
3
,
−
1
,
1
3
,
.
.
.
3, -1, \frac{1}{3}, ...
3
,
−
1
,
3
1
,
...
if
∣
r
∣
<
1
|r| < 1
∣
r
∣
<
1
.
QUESTION
Calculate the sum of the infinite series
1
+
0.5
+
0.25
+
.
.
.
1 + 0.5 + 0.25 + ...
1
+
0.5
+
0.25
+
...
.
QUESTION
If
a
=
2
a = 2
a
=
2
and
r
=
1
2
r = \frac{1}{2}
r
=
2
1
, what is the sum of the infinite series?
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ANSWER
S
=
4
S = 4
S
=
4
. Applying the infinite sum formula directly.
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