Geometric and Arithmetic Sequence

What is the common ratio in this sequence? 
{96, 48, 24, 12, ... }

• 1/2

• 2

• 12

• 24

Tags

CCSS.HSF.BF.A.2

The first three terms of an arithmetic sequence are 3, 11, and 19. Which function 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

Tags

CCSS.HSF.BF.A.2

Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...

• -20, -24, -28

• -21, -25, -29

• -23, -28, -33

• -24, -29, -32

Tags

CCSS.HSF.BF.A.2

A geometric sequence has a common ration(r) of 3 and the 8th term (a₈) is 13,122. What is the first term of the sequence (a₁)?

• 3

• 6

• 18

• 2

Tags

CCSS.HSF.BF.A.2

What is the common difference in this sequence?
{48, 32, 16, 0, ... }

• 1/2

• 2

• -8

• -16

Tags

CCSS.HSF.BF.A.2

These are the first three terms of an arithmetic sequence:
{½,  ¾,  1,  ... }
What are the fourth and fifth terms of the sequence?

• 5/4,  7/4

• 5/4,  3/2

• 3/2,  5/2

• 3/2,  2

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

Remember that arithmetic sequences have a common difference (add/subtract). Geometric sequences have a common ratio (multiply/divide). SELECT the TWO true statements!

• Arithmetic sequences have a common difference and we are adding the same number each time.

• Arithmetic sequences have a common difference and we are multiplying the same number each time.

• Geometric sequences have a common ratio and we are adding the same number each time.

• Geometric sequences have a common ratio and we are multiplying the same number each time.

Tags

CCSS.HSF.BF.A.2

Which sequence is a geometric sequence with a common ratio of 2?

• 5, 3, 1, -1, ...

• 5, 7, 9, 11, ...

• 5, 10, 20, 40, ...

• 5, 15, 45, 135, ...

Tags

CCSS.HSF.BF.A.2

What is the common ratio of this sequence?

{2, 10, 50, 250, ... }

[What are we multiplying by to get the next term?]

• 1,250

• 5

• 10

• 50

Tags

CCSS.HSF.BF.A.2