Sequences and Exponential Functions

Given the sequence: 125, 25, 5, .... Write the rule a_n using the geometric sequence formula:

• a_n = (125)(1/5)^(n-1)

• a_n = 625(1/5)^(n-1)

• a_n = 625(5)^(n-1)

• a_n = 125 + 5n

What is the common difference of the sequence 2, -1, -4, -7,...?

• -3

• -1

• -2

• 3

An arithmetic sequence is given below.

2, 9, 16, 23, ...

Which is the explicit formula for the n^th term a_n?

• a_n = -7n+9

• a_n = 7n-5

• a_n = 7n-9

• a_n = -7n+5

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

• 1024, 2048, 4096

• 32, 8, 2

• 64, 32, 16

• 92, 66, 38

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

• arithmetic

• geometric

• neither

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

• arithmetic

• geometric

• neither

Find the common ratio for the geometric sequence.

• 10

• 1/2

• 2

• 4

What is the x-intercept of the exponential function? 

• (0,1)

• (0,0)

• There is not one

If a₁ = 6 and a_n = 3 + 2(a_n-1)² , then a₂ equals

• 75

• 147

• 180

• 900

If a₁ = 3 and a_n = -2 (a_n-1) + 1, then a₅ =

• -5

• 11

• 21

• 43