The following table displays the values of a time series for the previous $5$ periods. We wish to use the Adjusted Exponential Smoothing forecast with a smoothing factor of alpha $=0\mathrm{.}85$

and a trend factor of beta $=0\mathrm{.}35$

to forecast the value of the time series for period $6.$

Rounded to the nearest cent, what is the forecast for period $6?$

Period Value $($$$)$

$134\mathrm{.}65$

$232\mathrm{.}52$

$330\mathrm{.}59$

$428\mathrm{.}57$

$530\mathrm{.}87$

$6$

The following table displays the values of a time series for the previous $5$ periods. We wish to use the Adjusted Exponential Smoothing forecast with a smoothing factor of

and a trend factor of

to forecast the value of the time series for period $6.$

Rounded to the nearest cent, what is the forecast for period $6?$

Period Value $($$$)$

$134\mathrm{.}65$

$232\mathrm{.}52$

$330\mathrm{.}59$

$428\mathrm{.}57$

$530\mathrm{.}87$

$6$

$31\mathrm{.}30$

$30\mathrm{.}24$

$30\mathrm{.}58$

$30\mathrm{.}68$

$29\mathrm{.}88$