Quiz about Geometric and Recursive Sequences

Question 1

What is the common ratio of this geometric sequence?

500, 200, 80, 32, ...

Accepted Answer

2/5

Answer

-5/2

Answer

-2/5

Answer

5/2

Question 2

In a geometric sequence, a₄ = 18, a₅ = 6, and a₆ = 2. What is the explicit formula for this sequence?

Accepted Answer

a_n = 486(1/3)^n-1

Answer

a_n = 2(3)^n-1

Answer

a_n = 18(3)^n-1

Answer

a_n = 18(1/3)^n-1

Question 3

$$a_n=\ \ 24\ \left(\frac{1}{2}\right)^{n-1}$$ This is the explicit formula for a(n) ...

Accepted Answer

Geometric Sequence

Answer

Arithmetic Sequence

Answer

Neither

Question 4

Write a recursive formula for the following sequence: 16,8, 4, 2,...

Accepted Answer

a₁=16

a_n=a_n-1 (1/2)

Answer

a₁=16

a_n=a_n-1 (2)

Answer

a₁=16

a_n=a_n-1 + (1/2)

Answer

a₁=16

a_n=a_n-1 - 8

Question 5

Write an explicit rule for the general term of the sequence 5, 15, 45, . . . ?

Accepted Answer

a_n = 5(3)^n-1

Answer

a_n = a_n-1 x 3

Answer

a_n = 3(5)^n-1

Answer

a_n = 5 + (n-1)3

Question 6

Which sequence is represented by the equation 2(7)^n-1 ?

Accepted Answer

2, 14, 98, 686...

Answer

7, 14, 28, 56...

Answer

2, 9, 16, 23...

Answer

7,9,11,13...

Question 7

Name the Sequence:

300, 150, 75, 37.5.....

Accepted Answer

B. Geometric

Answer

A. Arithmetic

Answer

C. Recursive

Answer

D. Explicit

Question 8

Given the sequence, identify the $$a_1$$ and the common ratio: 30, 60, 120, 240....

Accepted Answer

$$a_{1\ }=\ 30;\ r\ =\ 2$$

Answer

$$a_{1\ }=\ 20;\ r\ =\frac{1}{2}$$

Answer

$$a_{1\ }=\ 240;\ r\ =\ 2$$

Answer

$$a_{1\ }=\ 240;\ d=\frac{1}{2}$$

Question 9

The Recursive Formula for the Geometric Sequence is:

Accepted Answer

$$a_n\ =\ a_{\left(n-1\right)}\ \cdot\ r$$

Answer

$$A.\ \ a_n\ =\ a_1\ +\ d\ \left(n-1 ight)$$

Answer

$$B.\ \ a_{n\ }=\ a_{\left(n-1\right)}\ +\ d$$

Answer

$$a_{n\ }=\ a_{1\ }\cdot\ r\ ^{\left(n-1\right)}$$

Question 10

What is the common ratio of the sequence: 16, -8 , 4, -2...

Accepted Answer

$$-\frac{1}{2}$$

Answer

$$\frac{1}{2}$$

Answer

$$2$$

Answer

$$-2$$

Question 11

The next two terms of the sequence 2,-4, 8,-16 are

Accepted Answer

32, -64

Answer

32, 64

Answer

-64, 108

Answer

32, 20

Question 12

The sequence 6, 18, 54...

Accepted Answer

Geometric

Answer

Arithmetic

Answer

Explicit

Answer

Recursive

Question 13

Find the common ratio: 64, -16, 4, -1, ...

Accepted Answer

r = -1/4

Answer

r = -8

Answer

r = -4

Answer

r = 4

Question 14

Determine the first 3 terms of the following sequence.

Accepted Answer

-3, -9, -27

Answer

-3, 9, 27

Answer

-3, -6, -9

Answer

-3, 6,9

Question 15

Write a recursive formula for the following sequence: 10, 5, 0, -5,...

Accepted Answer

a₁= 10

a_n= a_n-1 - 5

Answer

a₁= 10

a_n= a_n-1 + 5

Answer

a₁= 10

a_n= a_n (5)

Answer

a₁= 10

a_n= a_n-1 (5)

Geometric and Recursive Sequences

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics