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The video presents the exponential smoothing forecast formula as a weighted average of the current actual demand and the current forecast. The next period's forecast is calculated by multiplying the current actual demand by the smoothing constant $\alpha$ and adding the product of the previous forecast and the complementary weight $(1-\alpha)$.

Conditions: The formula is used to compute the forecast for period $t+1$.; The same smoothing constant $\alpha$ is used throughout the worked example.; The initial forecast $F_1$ must be specified before recursion can begin.

The video presents the exponential smoothing forecast formula as a weighted average of the current actual demand and the current forecast. The next period's forecast is calculated by multiplying the current actual demand by the smoothing constant $\alpha$ and adding the product of the previous forecast and the complementary weight $(1-\alpha)$.

Conditions: The formula is used to compute the forecast for period $t+1$.; The same smoothing constant $\alpha$ is used throughout the worked example.; The initial forecast $F_1$ must be specified before recursion can begin.