Quiz about Geometric Sequences

Question 1

What type of sequence is this?

Accepted Answer

Geometric

Answer

Arithmetic

Answer

Neither

Answer

Only Coach Wagner knows

Question 2

What is the common difference or common ratio?

Accepted Answer

common ratio is -2

Answer

common difference is -3

Answer

common ratio is $$\frac{1}{2}$$

Answer

common difference is -2

Question 3

What is the next term in this sequence?

Accepted Answer

-32

Answer

-16

Answer

64

Answer

-64

Answer

128

Question 4

Write the EXPLICIT RULE for this sequence.

Outline for explicit rule: $$a_n=a_1\cdot r^{\left(n-1\right)}$$

Accepted Answer

$$a_n=1\cdot\left(-2\right)^{\left(n-1\right)}$$

Answer

$$a_n=2\cdot\left(1\right)^{\left(n-1\right)}$$

Answer

$$a_n=-2\cdot\left(3\right)^{\left(n-1\right)}$$

Answer

$$a_n=6\cdot\left(2\right)^{\left(n-1\right)}$$

Question 5

What type of sequence is this?

Accepted Answer

Geometric

Answer

Arithmetic

Answer

Neither

Answer

Only Coach Wagner knows

Question 6

What is the common difference or common ratio?

(Hint: do the second term divided by the first term)

Accepted Answer

common ratio is $$\frac{1}{2}$$

Answer

common ratio is 2

Answer

common difference is 2

Answer

common difference is $$\frac{1}{2}$$

Question 7

What is the next term in this sequence?

Accepted Answer

3

Answer

2

Answer

1

Answer

4

Answer

-3

Question 8

Write the EXPLICIT RULE for the sequence.

Outline for explicit rule: $$a_n=a_1\cdot\left(r\right)^{\left(n-1\right)}$$

Accepted Answer

$$a_n=96\cdot\left(\frac{1}{2}\right)^{\left(n-1\right)}$$

Answer

$$a_n=\frac{1}{2}\cdot\left(48\right)^{\left(n-1\right)}$$

Answer

$$a_n=\frac{1}{2}\cdot\left(96\right)^{\left(n-1\right)}$$

Answer

$$a_n=24\cdot\left(\frac{1}{2}\right)^{\left(n-1\right)}$$

Question 9

Find the 6th term given the EXPLICIT RULE $$a_n=5\cdot\left(2\right)^{\left(n-1\right)}$$

Accepted Answer

$$a_6=160$$

Answer

$$a_6=190$$

Answer

$$a_6=135$$

Answer

$$a_6=168$$

Answer

$$a_6=124$$

Question 10

Find the 8th term given the EXPLICIT RULE $$a_n=5\cdot\left(2\right)^{\left(n-1\right)}$$

Accepted Answer

$$a_8=640$$

Answer

$$a8=740$$

Answer

$$a8=800$$

Answer

$$a_8=160$$

Answer

$$a_8=280$$

Question 11

What type of sequence is this?

Accepted Answer

Geometric

Answer

Arithmetic

Answer

Only Coach Wagner knows

Answer

Neither

Question 12

What is the common difference or common ratio?

Accepted Answer

common ratio is -3

Answer

common difference is 3

Answer

common difference is -3

Answer

common ratio is $$\frac{1}{3}$$

Geometric Sequences

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