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For what values of x, 43,x,427 are in G.P.? - Mathematics and Statistics

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प्रश्न

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

योग

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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Sequence and Series - Geometric Progression (G.P.)
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Sequences and Series - EXERCISE 4.1 [पृष्ठ ५०]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board
अध्याय 4 Sequences and Series
EXERCISE 4.1 | Q 4) | पृष्ठ ५०

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