nedlila
nedlila nedlila
  • 27-12-2020
  • Mathematics
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a+a²+a³+....=2a, then what is the value of a?​

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ChoiSungHyun
ChoiSungHyun ChoiSungHyun
  • 27-12-2020

Step-by-step explanation:

a + a² + a³ + ... = 2a

1 + a + a² + ... = 2 (divide by a, where a could be 0)

Subtract both equations, we have:

-1 = 2a - 2, 2a = 1, a = 0.5.

Hence we have a = 0 or a = 0.5.

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