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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

For what values of x, the terms 43, x, 427 are in G.P.?

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प्रश्न

For what values of x, the terms `4/3`, x, `4/27` are in G.P.?

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उत्तर

`4/3`, x, `4/27` are in Geometric progression

∴ `"t"_2/"t"_1 = "t"_3/"t"_2`

∴ `"x"/(4/3) = (4/27)/"x"`

∴ x2 = `4/3 xx 4/27`

∴ x2 = `16/81`

∴ x = `± 4/9`

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

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