1. The problem asks for the 50th term of the alternating harmonic series, which is defined as $$T_j = 1/1 - 1/2 + 1/3 - 1/4 + \cdots + (-1)^{j+1} \frac{1}{j}$$ 2. The 50th term corresponds to $$j = 50$$, so it is given by: $$T_{50} = (-1)^{50+1} \frac{1}{50} = (-1)^{51} \frac{1}{50}$$ 3. Since 51 is odd, $$(-1)^{51} = -1$$, so $$T_{50} = -\frac{1}{50}$$ 4. Therefore, the 50th term of the alternating harmonic series is $$-\frac{1}{50}$$.