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What is the solution for the equation x + x/2 + x/4 + x/8 + ... =40?

1 Answer

1 vote

Answer: x = 20

Step-by-step explanation:

x + x/2 + x/4 + x/8 + x/16 + x/32 + x/64 + x/128...

20 + 10 + 5 + 2.5 + 1.25 + 0.625 + 0.3125 + 0.15625... ≈ 39.84375

Because "..." the left side of the equal sign will infinitely get closer and closer to 40.

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