an be in G.P. with common ratio I the terms a₁, A2, A3, Sk denote the sum of first k terms of this G.P.. Prove th ...

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let the terms a1, A2, A3, ..., an be in G.P. with common ratio r.
Let S denote the sum of first k terms of this G.P.. Prove that
r+1
Sm-1× Sm
=
ΣΣαρα;.
r 1si<j≤n
Transcribed Image Text:Let the terms a1, A2, A3, ..., an be in G.P. with common ratio r. Let S denote the sum of first k terms of this G.P.. Prove that r+1 Sm-1× Sm = ΣΣαρα;. r 1si<j≤n
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