O Consider the infinite series where 9 ER. Show using induction or otherwise we have - Σ qk, k=0 Sn = that for the partial sums Sn = n+1 Σ=o q*,
O Consider the infinite series where 9 ER. Show using induction or otherwise we have - Σ qk, k=0 Sn = that for the partial sums Sn = n+1 Σ=o q*,
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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can you please provide explanations and write out the proof please
Transcribed Image Text:B2. (a) Consider the infinite series
Σα*,
k=0
where q E R.
Show using induction or otherwise - that for the partial sums Sn = Σ=o q*,
k=0
we have
Sn
1- qn+1
1-q
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