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For the G.P. if a = 2/3, t_6 = 162, find r.

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प्रश्न

For the G.P. if a = `2/3`, t6 = 162, find r.

योग
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उत्तर

Given, a = `2/3`, t6 = 162

tn = arn–1

∴ t6 = `(2/3)("r"^(6 - 1))`

∴ 162 = `2/3"r"^5`

∴ r5 = `162 xx 3/2`

∴ r5 = 35

∴ r = 3

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अध्याय 2: Sequences and Series - Exercise 2.1 [पृष्ठ २७]

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बालभारती Mathematics and Statistics (Arts and Science) Part 2 [English] Standard 11 Maharashtra State Board
अध्याय 2 Sequences and Series
Exercise 2.1 | Q 2. (iv) | पृष्ठ २७

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