2-8-4 American railroads rostered Berkshires. The table lists data on the American locomotives as they were built. In the motion picture "The Polar Express", the "know-it-all" boy identifies the train's locomotive as a Baldwin 2-8-4 built in 1931, although the actual prototype for the film's locomotive was the Pere Marquette no. 1225, a Berkshire built by the Lima Locomotive Works in 1941. In the "Transformers" television series, motion picture and toy line, the Decepticon triple changer Astrotrain is modeled on a Japanese Class D62 2-8-4 locomotive. "Locomon" in the motion picture "Digimon: Runaway Locomon" is a 2-8-4 type locomotive. 2-8-4 Under
1/2 + 1/4 + 1/8 + 1/16 + ⋯ 1/2 + 1/4 + 1/8 + 1/16 + ⋯ In mathematics, the infinite series is an elementary example of a geometric series that converges absolutely. There are many different expressions that can be shown to be equivalent to the problem, such as the form: 2 + 2 + 2 + ... The sum of this series can be denoted in summation notation as: As with any infinite series, the infinite sum is defined to mean the limit of the sum of the first terms as approaches infinity. Multiplying by 2 reveals a useful relationship: Subtracting from both sides, As approaches