Student Problem #7 Unit K Concept 10 Writing a repeating decimal as a rational number using geometric sequence

• What is this problem about?

This problem demonstrates how to write a repeating decimal as rational number. We use geometric series to find the answer. the problem shows step by step how the problem is solved from finding a sub 1 because it's the first term to finding the ratio, which is when we take one of the numbers and divide it by the previous giving the answer, to the process of solving and getting the answer.

•  What must the reader pay close attention to in order not to make a mistake?

The reader needs to pay close attention that once you get your answer you must try and simplify as much as possible. Another thing is that you can check your answer by using the calculator. So for instance the problem shown in the picture above if you input in the calculator 49/99 that would equal the original problem of .49494949.