Question

Melia put the $30 her Grandmother gave her for her tenth birthday into her piggy bank. Each week after

that she added her $2.00 allowance to the bank.
Note: Use 52 weeks in a year for your conversion.
Is the amount of money in Melia's piggy bank each week a sequence? If so, what kind and why? If not, why
not?
Yes, it is an arithmetic sequence, because the points form a straight line.
Yes, it is a sequence, but it is not arithmetic or geometric. It is not a recognizable pattern,
Yes, it is a geometric sequence, because the points form an exponential curve.
No, it is not a sequence, because it is a continuous function.
Write an equation to represent the amount of money is in Melia's piggy bank after n weeks.
t(n)
On her 18th birthday, Melia breaks open her piggy bank to use the money to buy supplies at college. How
much money does Melia have to spend?
She has
dollars to spend

Answer 1

This is a sequence because the points form a straight line. The expression is: t(n) = 30 + 2x, x is number of weeks. On her 18th birthday, that is 8 years after her 10th. that means 416 weeks have passed since her 10th birthday. Plug 416 into the equation to get: t(416) = 30 + 2(416) = $862. She will have $862 to Spend.