Practice with Geometric Sequences Terms of Use    Contact Person: Donna Roberts
Directions: Read carefully.

1.
Find the 9th term of the sequence:

Choose:
 16 16 256

2.
List three positive geometric means between 1 and 81.

Choose:
 3, 6, 9 3, 9, 27 6, 9, 27 20, 40, 60

3.
Find t12 for a geometric sequence where
t1 = 2 + 2i and r = 3.

Choose:
 177,147 + 177,147i 354,294 + 354,294i 531,441 + 531,441i 1,062882 + 1,062,882i

4.
Which of the following choices expresses the nth term of the sequence 54, 18, 6, ... ?

Choose:

5.
Which of the following choices is a recursive formula for
18, 9, 4.5, 2.25, ... ?

Choose:

6.
The formula shown below can be used to model which of the following scenarios?

Choose:
 In a domed arena, the last row has 2300 seats and each row before it has 75 less seats than the row behind it. In a domed arena, the first row has 2300 seats and each row thereafter has 75 more seats than the row in front of it. The initial value of a Chinese vase is \$2300 and its value each following year is 25% less. A savings account starts with a deposit of \$2300 and each year it grows by 75%.

7.
In 1999, the Peregrine falcon was finally removed from the endangered species list in the United States. It was estimated in 2013, that there were currently 2,800 breeding pairs (5600 birds) in Canada, Mexico and the US. If a population annual growth rate of 2.4% could be maintained, which equation could be used to predict the population pairs of Peregrine falcons n years after 2013?

Choose:

8.
Given the recursive formula:

Which of the following choices is an explicit formula for an ?

Choose:
 an = (b + 1)bn-1 an = (b + 1)bn+1 an = b(b + 1)n-1 an = b(b + 1)n+1

9.
The sequence a1 = 8;    an = 4an-1 can also be written as:

Choose:
 an= 8 • 4n an= 2 • 4n an= 8 • 4n+1 an= 2 • 4n+1

10.
Dana began an exercise program using a FitBit to measure her distance walked on her treadmill, in miles, per week. The following table shows her progress over three weeks.

 Week 1 2 3 Distance Walked on treadmill (miles) 9 11.7 15.21

If she continues to progress in this manner, which of the listed statements could model the number of miles Dana walks on her treadmill, an, in terms of n, the number of weeks?

(Check all that apply, and hit SUBMIT!)

an = 9(1.3)n-1

an = 9 + (n - 1)2.7

an = 9(1.1)n-1

a1 = 9; an = (1.3)an-1

a1 = 9; an = 2.7 + an-1

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