lemonhyuck lemonhyuck

11-08-2020
Mathematics

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Find the sum of the geometric sequence. 1, 1/2,1/4,1/8,1/16

Respuesta :

zarampa zarampa

11-08-2020

Answer:

31/16

or

1 15/16

Step-by-step explanation:

1/8 = 2/16

1/4 = 4/16

1/2 = 8/16

1 = 16/16

then:

1 + 1/2 + 1/4 + 1/8 + 1/16

= 16/16 + 8/16 + 4/16 + 2/16 + 1/16

=(16+8+4+2+1)/16

= 31/16

31/16 = 16/16 + 15/16 = 1 + 15/16 = 1 15/16

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