Quiz about Common Difference or Common Ratio

Question 1

Which kind of sequence has a common difference?

Accepted Answer

Arithmetic

Answer

Geometric

Question 2

Which kind of sequence has a common ratio?

Accepted Answer

Geometric

Answer

Arithmetic

Question 3

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

Accepted Answer

a_n = a₁ * r^n-1

Answer

a_n = a_(n-1) + d

Answer

a_n = a_(n-1) * r

Answer

a_n = a₁ + d(n-1)

Question 4

Identify whether the following sequence is Arithmetic or Geometric and identify the common ratio or difference:
-14, -11, -8, -5, ...

Accepted Answer

Arithmetic
Common Difference: 3

Answer

Arithmetic
Common Difference: -3

Answer

Geometric
Common Ratio: 4

Answer

Geometric
Common Ratio: 3

Question 5

Identify whether the following sequence is Arithmetic or Geometric and identify the common ratio or difference:
97, 86, 75, 64, ...

Accepted Answer

Arithmetic
Common Difference: -11

Answer

Arithmetic
Common Difference: 8

Answer

Geometric
Common Ratio: -11

Answer

Geometric
Common Ratio: -8

Question 6

Identify whether the following sequence is Arithmetic or Geometric and identify the common ratio or difference:
256, 64, 16, 4,...

Accepted Answer

Geometric
Common Ratio: ¹/₄

Answer

Arithmetic
Common Difference: 4

Answer

Arithmetic
Common Difference: ¹/₄

Answer

Geometric
Common Ratio: -4

Question 7

Identify whether the following sequence is Arithmetic or Geometric and identify the common ratio or difference:
-6, -18, -54...

Accepted Answer

Geometric
Common Ratio: 3

Answer

Arithmetic
Common Difference: 3

Answer

Geometric
Common Ratio: -3

Answer

Arithmetic
Common Difference: 12

Question 8

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

Accepted Answer

a_n = 11(2)^n-1

Answer

a_n = 2(11)^n-1

Answer

a_n = 11 + 2(n-1)

Answer

a_n = a_(n-1) + 11
a₁ = 11

Question 9

Find the next three terms in the geometric sequence.

10, 20, 40, 80

Accepted Answer

160, 320, 640

Answer

90, 110, 130

Answer

happy, dopey, sleepy

Answer

160, 360, 480

Question 10

Find the next three terms of the geometric sequence.

-7, 21, -63, ......

Accepted Answer

189, -567, 1701

Answer

-189, 567, -1701

Answer

28, 35, 42

Answer

-28, 35, -42

Question 11

The first term of a geometric series is 1 and the common ratio is 9. What is the 8th term of the sequence? Use the explicit formula for Geometric Sequences:

a_n = a₁r^n-1

Accepted Answer

4,782,969

Answer

72

Answer

4,000,000

Answer

782,969

Common Difference or Common Ratio

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