How does SN (1-r) = 1-√²+1 What are the operational rules of subscripts?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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How does
r
S₁ (1-r) = 1-p~ +1
What are the operational rules
of subscripts?
Transcribed Image Text:How does r S₁ (1-r) = 1-p~ +1 What are the operational rules of subscripts?
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I get the meaning of subscripts much better now, but I don't see how Sn(1-r) = 1- r^(n+1)..... unless we are just assuming they are equal.

Can it be proven with a show of balancing each side (like dividing both sides by (1-r)) and getting r = r?

What is the proper way to prove this?

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