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Answer the following: For a G.P. a = 43 and t7 = 2431024, find the value of r - Mathematics and Statistics

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Question

Answer the following:

For a G.P. a = `4/3` and t7 = `243/1024`, find the value of r

Sum

Solution

Given, a = `4/3`, t7 = `243/1024`

tn = arn–1

∴ t7 = ar6

∴ `243/1024` = ar6

∴ `243/1024 = 4/3"r"^6`

∴ r6 = `3^6/4^6`

∴ r = `3/4`

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Chapter 2: Sequences and Series - Miscellaneous Exercise 2.2 [Page 41]

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Balbharati Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
Chapter 2 Sequences and Series
Miscellaneous Exercise 2.2 | Q II. (3) | Page 41

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