"Below are the first two values of a time series and the first two values of the exponential smoothing forecast.

Time Period $($t$)$ Time Series Value $($Y t$)$ Exponential Smoothing

Forecast $($F t$)$

$11818$

$22218$

If the smoothing constant equals $\mathrm{.}3,$ then the exponential smoothing forecast for time period $3$ is $\_\_\_\_\_.$

a$.20$

b$.18$

c$.40$

d$.19\mathrm{.}2$

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