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.
The 3 in the hundreds place if the number 587,349 has a value of 300. This 300 is 1/10 the value of the number you're looking for, so if x is the number you're looking for, then
