Understanding and applying sequences

Bruno was given $2000 when he turned 3 years old.  His parents invested it at a 2% interest rate compounded annually.  No deposits or withdrawls were made.  Which expression can be used to determine how much money Bruno had in the account when he turned 16? 

• 2000(1+0.02)¹³
• 2000(1-0.02)¹³
• 2000(1+0.02)¹⁶
• 2000(1-0.02)¹⁶

A geometric sequence can be represented by the exponential function

f(x)=4(12)^x. In terms of the geometric sequence, explain what f(3)=6912 represents.

• There are 3 values in the sequence

• The sequence starts at 6912

• The sequence increase by 3 each time

• The third value in the sequence is 6912

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%.

Which formula can be used to find out how much the printer will be worth in 8 years?

• $y=35000\left(1-0.05\right)^8$

• $y=35000\left(1-0.08\right)^5$

• $y=35000\left(1+0.05\right)^8$

• $y=35000\left(1+0.08\right)^5$

Anne currently brings in an annual salary of $46,000 and anticipates a raise of 5% every year.

We now know that our r value is .05. What is our a value? (a is the starting value)

Does this pattern represent an arithmetic or geometric sequence?

• Linear

• Exponential

• Quadratic

Jack's ant farm houses 230 ants. Over time, the population will decrease by 7% each month. How many ants will Jack have after 9 months?

• 423

• 230

• 120

• 16

Mr. Carlson suffers from allergies. When allergy season arrives, his doctor recommends that he take 300 mg of his medication the first day, and decrease the dosage by one half each day for one week. Which "rule" represents his medication doses for the week?

• f(n)=(1/2)n

• f(n)=300(1/2)^n-1

• f(n)=(1/2)^n-1

• f(n)=300+(1/2)n

Cassandra bought an antique dresser for $500. The value of her dresser increases 6% annually.

What will be the value of the dresser at the end of 3 years? Round to the nearest cent.

The population of an endangered species of insect is 480,000. The population decreases at the rate of 10% per year. Find the population of the species after 3 years. 

• 280,000
• 638,880
• 339,940
• 349,920

There is a town in Nebraska with a population of 1.

• True

• False