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

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प्रश्न

Answer the following:

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

योग
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उत्तर

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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अध्याय 2: Sequences and Series - Miscellaneous Exercise 2.2 [पृष्ठ ४१]

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बालभारती Mathematics and Statistics (Arts and Science) Part 2 [English] Standard 11 Maharashtra State Board
अध्याय 2 Sequences and Series
Miscellaneous Exercise 2.2 | Q II. (3) | पृष्ठ ४१

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