Question: The repeating decimal 0.99999 . . . can be written as the sum of the terms of a geometric sequence with a 1 = 0.9

The repeating decimal 0.99999 . . . can be written as the sum of the terms of a geometric sequence with a1 = 0.9 and r = 0.1.0.99999... = 0.9 +0.9(0.1) + 0.9(0.1) +0.9(0.1) +0.9(0.1)4+0.9(0.1)5 +


Because |0.1|


Use this formula to find a more common way of writing the decimal 0.99999 . . . .

0.99999... = 0.9 +0.9(0.1) + 0.9(0.1) +0.9(0.1) +0.9(0.1)4+0.9(0.1)5 +

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