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07-08-2017
Mathematics

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Express 5.555... in the form of a geometric series.

Respuesta :

musiclover10045 musiclover10045

07-08-2017

5.555 = 5.1 + 0.05 + 0.005

= 5.5 + 0.05 + 0.05(.1)

= 5.5 + 0.05/(1-.1)

=5.5+0.05/.9

=5.5 + 5/90

= 5.5+1/18

=55/10 + 1/18

= 495/90 + 5/90

=500/90

= 50/9

= 5 5/9

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