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Mathematics
Problem
Identify the infinite geometric series that is convergent. a)
4
−
5
+
25
4
−
125
8
+
⋯
4-5+\dfrac{25}{4}-\dfrac{125}{8}+\cdots
4
−
5
+
4
25
−
8
125
+
⋯
b)
5
−
10
+
20
−
40
+
⋯
5-10+20-40+\cdots
5
−
10
+
20
−
40
+
⋯
c)
7
+
7
2
+
7
4
+
7
8
+
⋯
7+\dfrac{7}{2}+\dfrac{7}{4}+\dfrac{7}{8}+\cdots
7
+
2
7
+
4
7
+
8
7
+
⋯
d)
9
+
12
+
16
+
64
3
+
⋯
9+12+16+\dfrac{64}{3}+\cdots
9
+
12
+
16
+
3
64
+
⋯
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