Quiz about Arithmetic vs Geometric Sequences

Question 1

Which formula is used to find the recursive equation for arithmetic sequences?

Accepted Answer

a_n = a_(n-1) + d

Answer

a_n = a₁ + d(n-1)

Question 2

Which formula is used to find the explicit equation for arithmetic sequences?

Accepted Answer

a_n = a₁ + d(n-1)

Answer

a_n = a_n-1 + d

Question 3

$$4\ ,\ 8\ ,\ 16\ ,\ 32\ ,\ ...\ $$

What is the first term of the geometric sequence?

Accepted Answer

4

Answer

32

Answer

2

Answer

64

Question 4

Which of the following is the recursive formula for geometric sequences?

Accepted Answer

g_n=g_n-1(r)

Answer

g_n=g₁(r^n-1)

Question 5

Which of the following is the explicit formula for geometric sequences?

Accepted Answer

g_n=g₁(r^n-1)

Answer

g_n=g_n-1(r)

Question 6

Write the recursive formula for 6, 17, 28, 39, 50....

Accepted Answer

a_n=a_n-1+11
a₁=6

Answer

a_n=a_n-1-4
a₁=6

Answer

a_n=a_n-1+9
a₁=6

Answer

a_n=a_n-1+6
a₁=6

Question 7

Identify the common difference.

-6, -3, 0, 3, 6....

Accepted Answer

3

Answer

4

Answer

-4

Answer

-3

Question 8

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)

Question 9

Which of the following equations is explicit?

Accepted Answer

f(n) = 4n + 5

Answer

f(n) = f(n-1) x 5

Question 10

Which of the following equations is recursive?

Accepted Answer

f(n) = f(n-1) +4

Answer

f(n) = 2n - 5

Question 11

Which is an arithmetic sequence?

Accepted Answer

1, 3, 5, 7, 9, ...

Answer

1, 2, 4, 8, 16, 32, ...

Answer

1, 1, 2, 3, 5, 8, 13, ...

Question 12

What does a₁ represent?

Accepted Answer

First term

Answer

Any term

Answer

Last term

Question 13

What is the common ratio for the sequence:
28, 14, 7, 3.5...

Accepted Answer

1/2

Answer

2

Answer

-14

Answer

-7

Question 14

What is the recursive rule for the sequence:
11, 22, 44, 88...

Accepted Answer

a_n = 2a_n-1

Answer

a_n = 2(11)^n-1

Answer

a_n = 11x 2

Answer

a_n = 11(2)^n-1

Question 15

Given the following sequence, what is the pattern?

2, 7, 12, 17,...

Accepted Answer

add 5

Answer

add 10

Answer

add 2

Answer

add -5

Question 16

Given the following formula, is it?

a_n = a_n-1 + 5

a₁ = -16

Accepted Answer

recursive, arithmetic

Answer

explicit, geometric

Answer

recursive, geometric

Answer

explicit, arithmetic

Question 17

Given the following formula, is it?

a₁=9; a_n=a_n-1+8

Accepted Answer

recursive, arithmetic

Answer

explicit, geometric

Answer

recursive, geometric

Answer

explicit, arithmetic

Question 18

Given the following formula, is it?

a_{1 =}6

a_n = 2a_{n - 1}

Accepted Answer

recursive, geometric

Answer

explicit, geometric

Answer

explicit, arithmetic

Answer

recursive, arithmetic

Question 19

The sequence 3, 6, 9, 12... is:

Accepted Answer

Arithmetic

Answer

Geometric

Answer

Recursive

Answer

Explicit

Question 20

Given the sequence 4, 11, 18, 25...... what is a₃ ?

Accepted Answer

18

Answer

4

Answer

11

Answer

25

Question 21

The sequence 6, 18, 54...

Accepted Answer

Geometric

Answer

Arithmetic

Answer

Explicit

Answer

Recursive

Question 22

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 +} (2)

Arithmetic vs Geometric Sequences

25 questions

Which formula is used to find the recursive equation for arithmetic sequences?

Which formula is used to find the explicit equation for arithmetic sequences?

Which of the following is the recursive formula for geometric sequences?

Which of the following is the explicit formula for geometric sequences?

Write the recursive formula for 6, 17, 28, 39, 50....

Identify the common difference.
-6, -3, 0, 3, 6....

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

Which of the following equations is explicit?

Which of the following equations is recursive?

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Arithmetic vs Geometric Sequences

25 questions

Which formula is used to find the recursive equation for arithmetic sequences?

Which formula is used to find the explicit equation for arithmetic sequences?

Which of the following is the recursive formula for geometric sequences?

Which of the following is the explicit formula for geometric sequences?

Write the recursive formula for 6, 17, 28, 39, 50....

Identify the common difference.-6, -3, 0, 3, 6....

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

Which of the following equations is explicit?

Which of the following equations is recursive?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Identify the common difference.
-6, -3, 0, 3, 6....

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