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Mathematics
Problem
For each of the following infinite series, state with justification whether it converges or diverges: a. (a)
4
+
2
+
1
+
1
2
+
⋯
4+2+1+\tfrac12+\cdots
4
+
2
+
1
+
2
1
+
⋯
b. (b)
5
−
3
+
1.8
−
1.08
+
⋯
5-3+1.8-1.08+\cdots
5
−
3
+
1.8
−
1.08
+
⋯
c. (c)
7
+
7.7
+
8.47
+
⋯
7+7.7+8.47+\cdots
7
+
7.7
+
8.47
+
⋯
d. (d)
−
2
+
1
−
1
2
+
1
4
−
⋯
-2+1-\tfrac12+\tfrac14-\cdots
−
2
+
1
−
2
1
+
4
1
−
⋯
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