The sum to infinity of a geometric progression is given by the formula:

\(S = \frac{a}{1-r}\)

where \(a\) is the first term and \(r\) is the common ratio.

Given \(a = 100\) and \(S = 2000\), we have:

\(\frac{100}{1-r} = 2000\)

Solving for \(r\):

\(100 = 2000(1-r)\)

\(100 = 2000 - 2000r\)

\(2000r = 2000 - 100\)

\(2000r = 1900\)

\(r = \frac{1900}{2000} = \frac{19}{20}\)

The second term of the progression is \(ar\):

\(ar = 100 \times \frac{19}{20} = 95\)