First you graph "y = 2x +2." You shade in the region below it, because it's y "LESS THAN" and you keep the line solid (not dotted) because it's "equal to" 2x+2 too.
we are given
past due balance is $87.50
new charges is $75.00
a late fee of 15% of my past due balance
now, we can find late fee
late fee = 15% * 87.50
late fee=13.125
now, we can find new total
new total = due balance + new charges + late fee
new total = 87.50+75+13.125
so,
new total is $175.625..........Answer
From the given recurrence, it follows that
and so on down to the first term,
(Notice how the exponent on the 2 and the subscript of <em>a</em> in the first term add up to <em>n</em> + 1.)
Denote the remaining sum by <em>S</em> ; then
Multiply both sides by 2 :
Subtract 2<em>S</em> from <em>S</em> to get
So, we end up with