Geometric Sequences Quiz

What is the initial or starting value of the geometric sequence 2, 4, 8, 16,....?

• 1

• 2

• 3

• 4

According to the rule to=2, tn+1 = 3tn, what is the value of t1?

(a)  

• 6
• 12

• 18

• 24

If the first term of a geometric sequence is denoted by t0 = a, what does the recurrence relation tn+1 = Rtn represent?

• The next term is the previous term divided by the common ratio, R.

• The next term is the previous term plus the common ratio, R.

• The next term is the previous term multiplied by the common ratio, R.

• The next term is the sum of the previous term and the product of the common ratio, R.

What is the value of t2 for the geometric sequence t0=5, tn+1 = 2tn?

(a)  

• 10

• 2

• 5

• 20

What is the value of t4 in the geometric sequence t0=5, tn+1 = 2tn?

• 80

• 10

• 20

• 40

How is the graph of the geometric sequence in Example 21 represented?

• A straight line

• A parabola

• An exponential curve

• A scatter plot

What is (t1) for the geometric sequence t0=1000 tn+1 = 0.1tn ?

(a)  

• 1000

• 100
• 10

• 1

Consider the geometric sequence: 1, 4, 16, 64, ... which is defined by t0 = 1, tn+1 = 4tn. What is the common ratio, R, of this sequence?

• 2

• 4

• 8

• 16

If the initial term t0 of a geometric sequence is 1 and the common ratio R is 4, what is t3?

• A) 12

• B) 64

• C) 48

• D) 16

If the initial value a is 2 and the common ratio R is 3, what is the value of t10?

(a)  

• A) 1,062,882

• B) 531,441

• C) 354,294

• D) 118,098