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Find the sum of 7 terms of the series 16/27 −8/9 +4/3 −.... - Mathematics

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प्रश्न

Find the sum of 7 terms of the series `16/27 - 8/9 + 4/3 -` ....

बेरीज
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उत्तर

a = `16/27`

r = `(-3)/2`

S7 = `16/27((((-3)/2)^7 - 1)/((-3)/2 - 1))`

= `16/27 xx ((-2187)/128 - 1)/((-5)/2)`

= `16/27 xx 2/(-5) xx (-2187 - 128)/128`

= `(-2315)/(27 xx 5 xx 4)`

= `463/(27 xx 4)`

= `463/108`

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पाठ 9: Arithmetic and geometric progression - Exercise 9E [पृष्ठ १९८]

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नूतन Mathematics [English] Class 10 ICSE
पाठ 9 Arithmetic and geometric progression
Exercise 9E | Q 2. | पृष्ठ १९८
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