SOLUTION: The instructions are to tell whether each series has a sum. if it does give its value. The problem is 0.7 + 0.07 + 0.007 + 0.0007 i have no clue how to solve this Please h

Algebra ->  Sequences-and-series -> SOLUTION: The instructions are to tell whether each series has a sum. if it does give its value. The problem is 0.7 + 0.07 + 0.007 + 0.0007 i have no clue how to solve this Please h      Log On


   

Question 61045: The instructions are to tell whether each series has a sum. if it does give its value.
The problem is 0.7 + 0.07 + 0.007 + 0.0007
i have no clue how to solve this
Please help
Answer by joyofmath(189) About Me  (Show Source):
You can put this solution on YOUR website!
Let S+=+0.7+%2B+0.07+%2B+0.007+%2B+0.0007+%2B+....
Multiply each term in S by 10.
Then 10S+=+7%2B+0.7+%2B+0.07+%2B+0.007+%2B+0.0007+%2B+....
Then subtract S from 10S:
10S+-+S+=+7 or 9S+=+7 or S+=+7%2F9