Answer
(a)
Number of workhouse hours by wives in 1964 will be\[34.5+0.3=34.8\]
Therefore, the formula for \[{{n}^{th}}\]term will be:
\[{{a}_{n}}=34.8-0.3n\]
(b)
The formula for \[{{n}^{th}}\]term is\[{{a}_{n}}=34.8-0.3n\]. The value of n for the year 2020 is 56.
Apply, the formula to solve for\[{{a}_{n}}\]:
\[\begin{align}
& {{a}_{n}}=34.8-0.3\left( 56 \right) \\
& =18
\end{align}\]
Housework hours per week for housewives in the year 2020 will be 18 hours.
