4.3 Applications of Sequences

A sequence can be generated by using a_n = 5a_(n-1)

where a₁ = 3

and n is a whole number greater than 1.

What are the first three terms in the sequence?

• 3, 15, 45

• 5, 8, 11

• 5, 15, 45

• 3, 15, 75

What is the 20^th term of the arithmetic sequence shown below.

7, 4, 1,...

• -49

• 50

• -50

• -51

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

An arithmetic sequence is described by the function f(n)=−3n+7. What are the first 5 terms of the sequence?

• 7, 10, 13, 16, 19

• 4, 1, -2, -5, -8

• -4, -1, 2, 5, 8

• -7, -10, -13, -16, -19

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

The next term of the series 4,16,64 is

• 256
• 132
• 120
• 150

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

What is the previous term for:

-6, 1, 8, 15...

• -13

• 13

• 1

• -12

Write a formula for the following sequence:

4, 12, 36, 108...

• a_n = 4(3^n-1)

• a_n = 4(3ⁿ)

• a_n = 4+3n

• a_n = 4(3n)

Tags

CCSS.HSF.BF.A.2

Write a formula for the following sequence:

2, 8, 14, ...

• a_n = 2 + 6n

• a_n = - 6 + 6n

• a_n = 6n - 4

• a_n = 4 - 6n

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

What is the 100th term in the sequence a_n = 4n-12

• 388

• 40012

• -388

• 100

Tags

CCSS.HSF.BF.A.2

Find a₁₈ for the following sequence.

-3, 6, -12, 24, ...

• -37

• -786,432

• 393,216

• 258,280,326

After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you increase that time by 6 minutes per day.

How long would you be running each day in week 3?

• 24 minutes

• 30 minutes

• 20 minutes

• 36 minutes

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2