W S 0 01 n 1 Step 4 Recall the following theorem 8 n 1 For the sum 0 01 n 1 we have a 0 01 The geometric seriesar 1 a ar ar a ar ar is convergent if Irl 1 and its sum is n 1 7 1 0 01 n 1 0 81 81 n 1 1 10 01 0 01 100 99 0 01 100 99 the geometric series ar 1 n 1 Step 5 We have found the value of the geometric sequence with common ratio 0 01 Therefore we can now wice the repeating fraction 0 81 as a ratio of integers as follows 0 01 1 81 100 100 99 17 Inci 1 and r 0 01 1 Therefore we have the following