Free Printable Algebra 2 Ch 1.3

1.

The leveling off point of a geometric sequence is also known as...

a)

The long run value (or limit)

b)

The common ratio

c)

The common difference

d)

The end

2.

Shifted geometric sequences involve

a)

multiplication only

b)

addition only

c)

multiplication and addition/subtraction

3.

FInd the long run value of this shifted geometric sequence:
$U_1=10$ $U_n=\left(1+.12\right)U_{n-1}+15$

*Tip: Use paper and pencil to work out this problem

a)

-125

b)

125

c)

17.05

d)

-17.05

4.

FInd the long run value of this shifted geometric sequence:
$U_1=15$ $U_n=\left(1-.04\right)U_{n-1}+200$

*Tip: Use paper and pencil to work out this problem

a)

-5000

b)

5000

c)

208

d)

-208

5.

A tree farm sells and plants trees each year. The recursive formula below shows the yearly amount of trees. What are the values of 5000, 0.1, and 450?
$U_0=5000$ $U_n=\left(1-.1\right)U_{n-1}+450$

*Tip: Use paper and pencil to work out this problem

a)

The tree farm start with 5000 trees, they are selling 10% each year, but plant an additional 450 every year.

b)

The tree farm start with 5000 trees, they are planting 10% each year, and plant an additional 450 every year.

c)

The tree farm start with 5000 trees, they are selling 1% each year, but plant an additional 450 every year.

d)

The tree farm start with 5000 trees, they are planting 1% each year, but plant an additional 450 every year.

6.

What kind of sequence is this?
$U_1=20$
$U_n=\left(1-.06\right)U_{n-1}+1$

a)

Arithmetic

b)

Geometric

c)

Shifted Geometric

7.

What kind of sequence is this?
$U_1=20$
$U_n=\left(1+.06\right)U_{n-1}$

a)

Arithmetic

b)

Geometric

c)

Shifted Geometric

8.

What kind of sequence is this?
$U_1=20$
$U_n=U_{n-1}+1$

a)

Arithmetic

b)

Geometric

c)

Shifted Geometric

9.

Is this sequence increasing or decreasing?

$U_1=20$
$U_n=\left(1-.06\right)U_{n-1}+1$

a)

Increasing

b)

Decreasing

10.

Is this sequence increasing or decreasing?

$U_1=20$
$U_n=\left(1+.06\right)U_{n-1}$

a)

Increasing

b)

Decreasing

11.

Is this sequence increasing or decreasing?

$U_1=20$
$U_n=U_{n-1}+1$

a)

Increasing

b)

Decreasing

Algebra 2 Ch 1.3

Total questions: 11

Worksheet time: 22mins

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