There is a gambling game that goes like this, you place a $5 bet to begin with. A coin is then flipped until it flips tails (or the house maximum of flips). Each time it lands on heads the house pays an amount equal to $1 times the number of consecutive flips, for example, land three heads in a row gets you three dollars($3), which is then added to the money you got from landing two flips in a row($2), and the one beginning flip on heads ($1), in other words, 3 heads in a row will give you $6.
a)What would be the expected house winnings if 16 people played?
Is there one equation to model all the answers?