I don't quite understand the ten strategy, or what EXACTLY you're asking. But, what you can do is when you add a one digit number plus a nine, just change the nine to a ten and subtract one. It is very easy. So, 7+10 equals 17, subtract one and you get 16 which is 7+9. It is always one less than anything plus 10.
Answer:
It does not exist.
Step-by-step explanation:
If we divide the second term by the first, 3rd by the 2nd and the 4th by the 3rd we get a constant result 4/3.
So this is a Geometric Series with common ratio r = 4/3 and a1 = 1/3.
As the common ratio is greater than 1 the series diverges ( continues to get bigger) so there is no sum to infinity. It just goes on getting bigger and bigger without bounds.