Consider the general arithmetico-geometric series Show that and find a simple expression for S n . Sn

Question:

Consider the general arithmetico-geometric series

Sn = a + (a + d)r + (a + 2d)r + ... + [a + (n 1)d]r"-1

Show that

(1r)S,= a + dr+dr + ... + dr"-1 [a + (n 1)d]r" -

and find a simple expression for S_n.

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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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Consider the general arithmetico-geometric series Show that and find a simple expression for S n . Sn

Question:

Sn = a + (a + d)r + (a + 2d)r + ... + [a + (n 1)d]r"-1

Step by Step Answer:

therefore SO Sn a a dr a 2d rSn ar a d ...View the full answer

Modern Engineering Mathematics

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