Decide which of the following geometric series are convergent. (a) 2 + 2 + 2 3 (b)

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Decide which of the following geometric series are convergent.

(a) 2 + 2 + 2 3 (b) 4-2+1 9 + 2 27 1 2 (c) 10 + 11 + 21 10 2 + + + 3k (-1)* 4 2k +...+10()*+.. ... +...+ 1331

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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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Decide which of the following geometric series are convergent. (a) 2 + 2 + 2 3 (b)

Question:

(a) 2 + 2 + 2 3 (b) 4-2+1 9 + 2 27 1 2 (c) 10 + 11 + 21 10 2 + + + 3k (-1)* 4 2k +...+10()*+.. ... +...+ 1331 100 +... 25 125 (d) 1 - 1 + 2 - 2 + ... + ()* + ... 16 64

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Modern Engineering Mathematics

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(a) 2 + 2 + 2 3 (b) 4-2+1 9 + 2 27 1 2 (c) 10 + 11 + 21 10 2 + + + 3k (-1)* 4 2k +...+10()+.. ... +...+ 1331 100 +... 25 125 (d) 1 - 1 + 2 - 2 + ... + () + ... 16 64