The given sequence is:
a(2)=1
a(3)=3
a(4)=9
We are to find the average rate of change between n=3 and n=4 for the given function.
Average rate of change =
So the average rate of change for the given function from n = 3 to n = 4 is 6
<span>One year has approximately 52 weeks.
</span>Weeks in a common Year
One calendar common year has 365 days:
1 common year = 365 days = (365 days) / (7 days/week) = 52.143 weeks = 52 weeks + 1 day
Weeks in a leap year
One calendar leap year has 366 days, when February has 29 days:
1 leap year = 366 days = (366 days) / (7 days/week) = 52.286 weeks = 52 weeks + 2 days
It seems most likely that ...
... Samantha will save $37.50 because she must first find the 25% sale price before taking the extra 50% reduction
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In the real world, it seems probable that Samantha will be offered the choice of using the coupon or the sale discount. If she chooses tht 50% coupon, her savings will be $30. If she chooses the marked sale discount, her savings will be $15.
The scenario above assumes she gets 50% off the sale price of $45, so saves $15+22.50 = $37.50 off the original price.