Geometric Sequences as Exponential Functions

What is the common ratio of sequence
g₂ = −16⋅(−1/4)^n-1 ?

• -16

• -1/4

• n-1

• 4

Tags

CCSS.HSF.BF.A.2

What is the common ratio for the sequence?
4, 2, 1, ½, ¼, ...

• -2

• -½

• ½

• 2

Tags

CCSS.HSF.BF.A.2

What is the common ratio for the sequence?
1, 3, 9, 27, ...

• -3

• -⅓

• ⅓

• 3

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

Tags

CCSS.HSF.BF.A.2

What would the tenth term in the sequence be?
⅓, 1, 3, 9, ...

• 729

• 2187

• 6561

• 19683

Tags

CCSS.HSF.BF.A.2

A ball is dropped from a height of 18feet. The function f(x)=18(0.5)^x gives the height in feet of each bounce, where x is the bounce number. What will be the height of the third bounce to the nearest tenth of a foot?

• 4.5 ft

• 2.3 ft

• 1.1 ft

• 0.6 ft

Tags

CCSS.HSF.BF.A.2

Fill in the blank: Geometric sequences are graphed as _____________ functions.

• Linear

• Exponential

5, 15, 45, 135 is a ...

• Geometric sequence with r = 3

• Geometric sequence with r = 1/3

• Arithmetic sequence with d = 10

• Arithmetic sequence with d = 3

Tags

CCSS.HSF.BF.A.2

Is this the graph of an arithmetic or a geometric sequence?

• Arithmetic

• Geometric

Tags

CCSS.HSF-IF.C.7E

Determine whether the sequence is arithmetic, geometric, or neither.

• arithmetic

• geometric

• neither

Tags

CCSS.HSF.BF.A.2