Given the series:
1
+
1
4
+
1
16
+
1
64
+
⋯
\displaystyle {1}+\frac{{1}}{{4}}+\frac{{1}}{{16}}+\frac{{1}}{{64}}+\cdots
1
+
4
1
+
16
1
+
64
1
+
⋯
does this series converge or diverge?
diverges
converges
If the series converges, find the sum of the series:
1
+
1
4
+
1
16
+
1
64
+
⋯
=
\displaystyle {1}+\frac{{1}}{{4}}+\frac{{1}}{{16}}+\frac{{1}}{{64}}+\cdots=
1
+
4
1
+
16
1
+
64
1
+
⋯
=
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Question 6 Part 2 of 2
(If the series diverges, leave this second box blank.)
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Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity