a$.$ Just by looking at the numbers, what are your expectations for the $5-$year arithmetic averagesfor the DJIA and the S&P $500?($i$.$e$.$ is there a range of values that you can expect thearithmetic average to fall in between and more importantly, WHY?$)$b$.$ Calculate the $5-$year arithmetic average AND the $5-$year geometric average for the DJIA andthe S&P $500.$c$.$ Explain the numbers that you calculated in b for the DJIA in plain English. $($i$.$e$.$ if youcalculated $10\%$ for the Dow$$s $5-$year arithmetic average, what does it mean in plain English?If you calculate $11\%$ for the Dow$$s $5-$year geometric average, what does it mean in plainEnglish?$)$d$.$ Comparing your numbers of arithmetic averages and geometric averages, what are your takeaway in terms of the relationship between the $2$ averages? $($is one type of average alwaysgreater than the other, and more importantly, WHY?$)$