Sequences

Here is a graph of sequence M. Define M recursively using function notation.

• M(1)=7,

  M(n)=M(n–1)–2 for n≥2 or equivalent

• M(1)=1,

  M(n)=M(n–1)–7 for n≥2 or equivalent

• M(0)=7,

  M(n)=M(n–1)+2 for n≥2 or equivalent

• M(1)=7,

  M(n)=2(n–1) for n≥2 or equivalent

Tags

CCSS.HSF.IF.A.3

Here is a rule to make a list of numbers: Each number is the sum of the previous two numbers. Start with the numbers 0 and 1, and then follow the rule to build a sequence of 10 numbers.

Type your answers in the boxes.

0, 1, ,_,_,_,_,_,_,_,_,_,_

(a)  

Tags

CCSS.HSF.BF.A.2

A sequence starts 1/2, 1/4, 1/8, . .

Give a rule that the sequence could follow.

• Each term is adds 2 to the next term.

• Each term is half the previous term.

• Each term is double the previous term.

• There is no pattern

Tags

CCSS.HSF.BF.A.2

A sequence starts 1/2, 1/4, 1/8, . .

Follow your rule to write the next 3 terms in the sequence.

• 1/16 , 1/32 , 1/64
  
  

• 1/8 , 1/12 , 1/16

• No pattern

• 1/16, 1/64, 1/84

Tags

CCSS.4.OA.C.5

A sequence starts 1/2, 1/4, 1/8, . .

Is this a geometric sequence? How do you know?

• Yes, each term is multiplied by 1/2 to get the next term or the quotient of consecutive terms is 1/2.

• Yes, each term is multiplied by 2 to get the next term or the quotient of consecutive terms is 2.

• No,

  There is no pattern

• No, each term is adding by 1/2 to get the next term or the quotient of consecutive terms is 1/2.

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• g_n = 4(3)^n-1

• g_n = 3(4)^n-1

• g_n = -4(3)^n-1

• g_n = 3(-4)^n-1

Tags

CCSS.HSF.BF.A.2

What is the growth factor of each geometric sequence?

1, 1, 1, 1, 1

(a)  

Tags

CCSS.HSF.BF.A.2

Here is the recursive definition of a sequence: 

f(1)=3, f(n)=2⋅f(n−1) for n≥2

Graph the value of the first 3 terms in the sequence.

Tags

CCSS.HSF.IF.A.3

What is the growth factor of each geometric sequence?

256, 128, 64,

• 1/2

• 2

• 1/4

• N/A

Tags

CCSS.HSF.BF.A.2

What is the growth factor of each geometric sequence?

18, 54, 162

(a)  

Tags

CCSS.HSF.BF.A.2