Arithmetic and Geometric Sequences

Find the 16th term.

• 16

• 31

• 25

• 35

Tags

CCSS.HSF.BF.A.2

Find the common difference:

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

• 12

• -12

• 8

• -8

Tags

CCSS.HSF.BF.A.2

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.

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

Arithmetic, geometric, or neither?

4, 9, 14, 19, ...

• Arithmetic

• Geometric

• Neither

Tags

CCSS.HSF.BF.A.2

Arithmetic, geometric, or neither?

100, 50, 25, 12.5, ...

• Arithmetic

• Geometric

• Neither

Tags

CCSS.HSF.BF.A.2

Find the common ratio:

2, 8, 32, 128, ...

• 1/4

• 4

• 1/6

• 6

Tags

CCSS.HSF.BF.A.2

Create the formula for the geometric sequence:
-4, -16, -64, -256...

• a_n = -4(4)^n-1

• a_n = -4(-4)^n-1

• a_n = 4(4)^n-1

• a_n = 4(4)^n-1

Tags

CCSS.HSF.BF.A.2

What are the first three terms of the sequence defined by the following equation?
a_n = 7 + (n - 1)5

• 7, 35, 175

• 7, 2, -3

• 12, 17, 22

• 7, 12, 17

Tags

CCSS.HSF.BF.A.2

What is the term position of 31,250 in the following geometric sequence? 2, 10, 50,...

• a₅

• a4

• a₂₀

• a₇

Tags

CCSS.HSF.BF.A.2