Original
Under this assumption, during the first half-second, the object would move by {{MATH_195}}; during the second time interval of half a second, the object would move by {{MATH_196}}, during the third half- second interval, the object would move by {{MATH_197}},etc.
During the entire time interval, the object would move by
{{ENV_198}}
Using sigma notation and the fact that {{MATH_199}}, we can write