Show that if Deduce that Show that if r n a (1 r) 2 as n Hence sum the infinite series T a 2ar 3ar 4ar nar 1 then (1r)T, a ar ar ar nar...

Show that if Deduce that Show that if |r| n a/(1 r) 2 as n

Question:

Show that if

T= a + 2ar + 3ar + 4ar+...+ nar-1 then (1r)T, = a +ar+ar+...+ar"- - nar

Deduce that

T = a(1-r") (1-r) nar" 1-r

Show that if |r| n → a/(1 – r)² as n → ∞. Hence sum the infinite series

- 1+ 3/3 + 1/3 + 27 5 + + 81 + k 3k-1 +.

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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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Question Posted: Jan 13, 2024 09:04 AM

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Show that if Deduce that Show that if |r| n a/(1 r) 2 as n

Question:

T= a + 2ar + 3ar + 4ar+...+ nar-1 then (1r)T, = a +ar+ar+...+ar"- - nar

Step by Step Answer:

In a 2ar 3ar 4ar In ar 2ar ...View the full answer

Modern Engineering Mathematics

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