Exponential Functions & Sequences Review

A turkey population starts with 20 individuals and increases by 6% each year. Which function models the situation. Let y be the turkey population after x years.

• $y=20\left(1.6\right)^x$

• $y=20\left(1.06\right)^x$

• $y=20\left(0.94\right)^x$

• $y=20\left(7\right)^x$

A goose population starts with 80 individuals and decreases by 14% each year. Which function models the situation. Let p be the goose population after t years.

• $P=80\left(1.04\right)^t$

• $P=80\left(1.14\right)^t$

• $P=80\left(0.94\right)^t$

• $P=80\left(0.86\right)^t$

You deposit $6,000 into a savings account that gains 5% interest each year. Find the account balance after 7 years. Round to the nearest dollar.

A new car costs $35,000 and the value depreciates by 10% each year. Find the value of the car after 5 years. Round to the nearest dollar.

Find the common difference of the arithmetic sequence.

-2, 7, 16, 25, ...

Find the common ratio of the geometric sequence.

80, 40, 20, 10, ...

Find the next term of the sequence.

5, 20, 80, 320, ...

Find the next term of the sequence.

15, 21, 27, 33, ...

Select the explicit formula for the arithmetic sequence.

12, 20, 28, 36, ...

• a_n = 4n + 8

• a_n = 8n + 4

• a_n = 8n + 12

• a_n = 12n + 8

Select the explicit formula for the geometric sequence.

3, 12, 48, 192, ...

• a_n = 3(4)^n-1

• a_n = 3(3)^n-1

• a_n = 4(3)^n-1

• a_n = 3(12)^n-1