Unit 1 Lesson 8

A sequence is defined by  $f\left(0\right)=-20,\ f\left(n\right)=f\left(n-1\right)-5,\ n\ge1.$  What is  $f\left(1\right)$  ?

• -20

• -25

• -30

• -35

A sequence is defined by  $f(0)=−20,f(n)=f(n−1)−5,n≥1.$  What is  $f\left(3\right)?$  

• -20

• -25

• -30

• -35

A sequence is defined by  $f\left(0\right)=-4,\ f\left(n\right)=f\left(n-1\right)-2;\ n\ge1.$  Which equation defines the  $nth\$  term of the sequence.

•  $f\left(n\right)=4-2n,\ n\ge0$  

•  $f\left(n\right)=-4+2n,\ n\ge0$  

•  $f\left(n\right)=-4-2n,\ n\ge0$  

•  $f\left(n\right)=4+2n,\ n\ge0$  

Here is the recursive definition of a sequence:  $f\left(1\right)=3,\ f\left(n\right)=2\cdot f\left(n-1\right);\ n\ge2$  Find the first 5 terms of the sequence

Is this sequence  $f\left(1\right)=3,\ f\left(n\right)=2\cdot f\left(n-1\right);\ n\ge2$  arithmetic, geometric, or neither?

• arithmetic

• geometric

• neither

 Here is a graph of a sequence $M.$  Which recursive definition in function notation is correct?

•  $M\left(1\right)=8,\ M\left(n\right)=M\left(n-1\right)-2;\ n\ge2$  

•  $M\left(1\right)=7,\ M\left(n\right)=M\left(n-1\right)-2;\ n\ge2$  

•  $M\left(1\right)=8,\ M\left(n\right)=M\left(n-1\right)+2;\ n\ge2$  

•  $M\left(1\right)=8\ 7,\ M\left(n\right)=M\left(n-1\right)+2;\ n\ge2$  

Is this sequence arithmetic, geometric, or neither?

• arithmetic

• geometric

• neither

List the first five terms of the sequence.

Write a recursive definition of the sequence.

• $f\left(1\right)=64,\ f\left(n\right)=f\left(n-1\right)\cdot4,\ n\ge2$

• $f\left(1\right)=64,\ f\left(n\right)=f\left(n-1\right)-4^n,\ n>-2$

• $f\left(1\right)=64,\ f\left(n\right)=f\left(n-1\right)\cdot\frac{1}{4}\ ,\ n\ge2$

• $f\left(1\right)=64,\ f\left(n\right)=f\left(n-1\right)\cdot4^n,\ n>-2$