I have to solve - ∞∑i=1(512)i - geometric series?
The geometric series sequence I know is - ∞∑i=0xi=11−x
However in my assignment, the series starts from i=1.
The solution I have is - ∞∑i=1(512)i=11−512−1
Can you explain please why is that the solution?
Answer
HINT:
∞∑i=0xi=11−x=x0+∞∑i=1xi
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