Recursive Formulas of Arithmetic and Geometric Sequences

What is the common ratio: 5, 25, 125, 625...

• 25

• 20

• 5

• 4

Tags

CCSS.HSF.BF.A.2

Given the sequence 11, 15, 19, 23..., which recursive formula describes it?

Tags

CCSS.HSF.IF.A.3

Which of the following recursive formulas represents the given sequence. 4, 12, 36, 108, 324, ...

Tags

CCSS.HSF.IF.A.3

Classify each function with its description. f\left(x\right)=f\left(x-1\right)+1,f\left(0\right)=5

• arithmetic, explicit

• arithmetic, recursive

• geometric, explicit

• geometric, recursive

Tags

CCSS.HSF.IF.A.3

Decide what kind of sequence this is.
What is the recursive form for the following sequence
3, 15, 75, 375, 1875...

• a_n= 5*a_n-1

• a_n= (1/5)*a_n-1

• a_n= a_n-1+5

• a_n= a_n-1 - 5 

Tags

CCSS.HSF.BF.A.2

What is the recursive formula for arithmetic sequences?

• f(n) = f(n-1) + d

• f(n) = f(1) + (n+1)d

• f(n) = f(1) + nd

• f(n) = f(1)+ (n-2)d

Tags

CCSS.HSF.BF.A.2

Classify each function with its description. f\left(x\right)=f\left(n-1\right)+2,f\left(1\right)=4

• arithmetic, explicit

• arithmetic, recursive

• geometric, explicit

• geometric, recursive

Tags

CCSS.HSF.IF.A.3

Find the missing terms of the arithmetic and geometric sequences in the table. Use the formulas.

• 8, 14, 20

• 10, 16, 22

• 12, 18, 24

Tags

CCSS.HSF.BF.A.2

Find the missing terms of the arithmetic and geometric sequences in the table. Use the formulas.

• 12, 48, 768

• -12, 48, 768

• 34, 48, 192

Tags

CCSS.HSF.BF.A.2

Find the missing terms of the arithmetic and geometric sequences in the table. Use the formulas.

• 22, 32, 52

• 20, 30, 50

• 18, 24, 36

Tags

CCSS.HSF.BF.A.2