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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

For a G.P. if S5 = 1023 , r = 4, Find a

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प्रश्न

For a G.P. if S5 = 1023 , r = 4, Find a

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उत्तर

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

∴ S5 = `("a"("r"^5 - 1))/("r" - 1)` = 1023, where r = 4

∴ `("a"(4^5 - 1))/(4 - 1)` = 1023

∴ `("a"(1024 - 1))/3` = 1023

∴ a = 3

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पाठ 2: Sequences and Series - Exercise 2.2 [पृष्ठ ३१]

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