The first term of the geometric series is given as 6, and the second term is 2. The common ratio \(r\) can be found by dividing the second term by the first term:

\(r = \frac{2}{6} = \frac{1}{3}\)

The formula for the sum to infinity of a geometric series is:

\(S_\infty = \frac{a}{1 - r}\)

where \(a\) is the first term and \(|r| < 1\).

Substituting the known values:

\(S_\infty = \frac{6}{1 - \frac{1}{3}} = \frac{6}{\frac{2}{3}} = 6 \times \frac{3}{2} = 9\)

Thus, the sum to infinity is 9.