SOLUTION: The sum to m term of the series 1 +11+111...... upto m term is equal to:

Question 1084552: The sum to m term of the series 1 +11+111...... upto m term is equal to:
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
k=1,2,3,�

Didn't see how 9*S[n] would help, ideally looking for something that is closer to 10^n for each S[n], so we can find a pattern in the amounts to subtract from 10^n to arrive at S[n]:
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Note that

gives us
and
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Spot Check:
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I found this by trial and error, maybe another tutor has a more structured approach.

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