Recursive Formulas of Arithmetic and Geometric Sequences

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

• 25

• 20

• 5

• 4

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

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

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

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 

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

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

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

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

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