Look at the following sum. 1 + 1⁄2 + 1⁄4 + 1⁄8 + 1⁄16 + 1⁄32 + 1⁄64. . . Notice that the denominator of each fraction in the sum is twice the denominator that comes before it. If you continue adding on fractions according to this pattern, when will you reach a sum of 2?
Accepted Solution
A:
No matter how long you continue to add this sequence of fractions, you can never reach a sum of 2, although your answer gets closer to 2 each time you add a fraction.