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Mathematics
Mathematics
Problem
Find a formula for
S
n
S_n
S
n
, the sum of the first
n
n
n
terms of the series: a.
3
+
3
+
3
3
+
9
+
…
\sqrt{3} + 3 + 3\sqrt{3} + 9 + \dots
3
+
3
+
3
3
+
9
+
…
b.
12
+
6
+
3
+
1
1
2
+
…
12 + 6 + 3 + 1\frac{1}{2} + \dots
12
+
6
+
3
+
1
2
1
+
…
c.
0.9
+
0.09
+
0.009
+
0.0009
+
…
0.9 + 0.09 + 0.009 + 0.0009 + \dots
0.9
+
0.09
+
0.009
+
0.0009
+
…
d.
20
−
10
+
5
−
2
1
2
+
…
20 - 10 + 5 - 2\frac{1}{2} + \dots
20
−
10
+
5
−
2
2
1
+
…
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