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For the following G.P.'s, find Sn: 3, 6, 12, 24, ... - Mathematics and Statistics

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प्रश्न

For the following G.P.'s, find Sn: 3, 6, 12, 24, ...

बेरीज

उत्तर

3, 6, 12, 24, ...

Here, a = 3, r = `6/3` = 2 > 1

Sn = `("a"("r"^"n" - 1))/("r" - 1)`, for r > 1

∴ Sn = `(3(2^"n" - 1))/(2 - 1)`

∴ Sn = 3(2n – 1)

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Sum of the First n Terms of a G.P.
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पाठ 4: Sequences and Series - EXERCISE 4.2 [पृष्ठ ५४]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board
पाठ 4 Sequences and Series
EXERCISE 4.2 | Q 1) i) | पृष्ठ ५४

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