Arithmetic and Geometric Sequences

Which kind of sequence has a common difference?

• Arithmetic

• Geometric

Which of the following best describes this sequence?

• A geometric sequence with a common difference of 3.

• An arithmetic sequence with a common difference of 3.

Find the explicit formula:

• aₙ = 6n + 2

• aₙ = 8n + 6

• aₙ = 2n + 6

• aₙ = 6n + 8

The first three terms of an a sequence are 3, 11, and 19. Which formula represents the sequence?

• a_n = 8 + 3(n-1)

• a_n = 8(3)^n-1

• a_n = 3 + 8(n-1)

• a_n = 3 + 8n

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

• a_n = 2(11)^n-1

• a_n = 11(2)

• a_n = 11(2)^n-1

Find the next term:

81, 9, 1, 1/9, ...

• 1/81

• 1/27

• 1/18

• 18

Find the common difference:

25, 13, 1, -11, ...

• 12

• -12

• 8

• -8

The explicit formula is used to find a specific term in a sequence.

• True

• False

Which of the following best describes this sequence?

• An arithmetic sequence with a common ratio of 3.

• A geometric sequence with a common difference of 3.

• An arithmetic sequence with a common difference of 3.

• A geometric sequence with a common ratio of 3.

In a geometric sequence, a₁ = 486 and a₂ = 162. What is the explicit formula for this sequence?

• a_n = 2(3)^n-1

• a_n = 18(3)^n-1

• a_n = 18(1/3)^n-1

• a_n = 486(1/3)^n-1