The number 0 999c can be written as the sum of the terms of an infinite geometric sequence 0 9 0 09 0 009 Here we have a 1 0 9 and r 0 1 Use the formula for S to find this sum Does intuition indicate that this answer is correct ...

The number 0.999c can be written as the sum of the terms of an infinite geometric sequence:

Question:

The number 0.999c can be written as the sum of the terms of an infinite geometric sequence: 0.9 + 0.09 + 0.009 + · · · . Here we have a₁ = 0.9 and r = 0.1. Use the formula for S_∞ to find this sum. Does intuition indicate that this answer is correct?

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