M1 Unit 1 Test Review - Bartels - Anna Bartels | Biblioteka

Learning Target 1: I can write, model, and evaluate arithmetic and geometric sequences.

1

Simplify the following expressions:

1

Simplify the following expressions:

1

Simplify the following expressions:

1

Simplify the following expressions:

1

Simplify the following expressions:
given x=5

1

Simplify the following expressions:
given y=-4

3

Identify the number of terms, leading coefficient, constant(s), and circle the like terms.

Number of Terms:

Leading Coefficient:

Constant(s):

3

Identify the number of terms, leading coefficient, constant(s), and circle the like terms.

Number of Terms:

Leading Coefficient:

Constant(s)-separate with a comma:

1

Find the percent increase or decrease of the following scenarios:
The staff at a company went from 40 to 29 employees. What is the percent decrease in staff?

1

Find the percent increase or decrease of the following scenarios:
At a supermarket, a certain item has increased from 75 cents per pound to 81 cents per pound. What is the percent increase in the cost of the item?

2

Determine if the following are arithmetic or geometric sequences. Justify your answer by identifying the common difference or common ratio.

2, 6, 10, 14, 18…

Arithmetic or Geometric:

Common Difference or Common Ratio (make sure to say d=# or r=#):

2

Determine if the following are arithmetic or geometric sequences. Justify your answer by identifying the common difference or common ratio.

1, 3, 9, 27…

Arithmetic or Geometric:

Common Difference or Common Ratio (make sure to say d=# or r=#):

2

Determine if the following are arithmetic or geometric sequences. Justify your answer by identifying the common difference or common ratio.

3,-10,-23,-36, ....

Arithmetic or Geometric:

Common Difference or Common Ratio (make sure to say d=# or r=#):

2

Determine if the following are arithmetic or geometric sequences. Justify your answer by identifying the common difference or common ratio.

100, 20, 4, 0.8, 0.16, ...

Arithmetic or Geometric:

Common Difference or Common Ratio (make sure to say d=# or r=#):

3

Use the following sequence to answer the questions: -4, -1, 2, 5, …

A.) What is the common difference?

B.) What is the initial value?

C.) What is the third term in the sequence?

3

Use the following sequence to answer the questions:

-20,-12, -4, 4, 12…

A.) Determine if the sequence is arithmetic or geometric. Then write a formula for the

sequences. If it’s arithmetic, use: a_n=a_1+d(n-1), if it’s geometric, use: a_n=a_1(r)^{n-1}

a_n=

B.) Using the formula from part a, what is the 40th term in the sequence?

C.) Find a_{15} using your formula from part a.

1

Determine if function (equation) demonstrates arithmetic, geometric or neither. Justify your answer.
A.) a_n=6-4n

Arithmetic

Geometric

Neither

1

Determine if function (equation) demonstrates arithmetic, geometric or neither. Justify your answer.
B.) a_n=-2∙(2)^n-1

Arithmetic

Geometric

Neither

1

Determine if function (equation) demonstrates arithmetic, geometric or neither. Justify your answer.
C.) a_n=-2(1/{10})^n+5

Arithmetic

Geometric

Neither

2

Find the next two terms in the sequence.

A.) -3, -18, -108, -648, -3888, ,

2

Find the next two terms in the sequence.

B.) 3.5, 10.5, 31.5, 94.5, 283.5, ,

2

Find the next two terms in the sequence.

C.) 67, 47, 27, ,

2

Identify the common ratio and initial value of the arithmetic and geometric sequences.

Common Ratio:

Initial Value:

A.) a_n=18-9(n-1)

Initial Value:

Common Difference:

2

Identify the common ratio and initial value of the arithmetic and geometric sequences.

Common Ratio:

Initial Value:

B.) a_n=-7+23(n-1)

Initial Value:

Common Difference:

2

Identify the common ratio and initial value of the arithmetic and geometric sequences.

Common Ratio:

Initial Value:

C.) a_n=-2(3)^n-1

Initial Value:

Common Ratio:

2

Identify the common ratio and initial value of the arithmetic and geometric sequences.

Common Ratio:

Initial Value:

D.) a_n=4(2)^n-1

Initial Value:

Common Ratio:

2

If a_1= -27 and r= -3

A) Write a geometric formula given a_n=a_1(r)^n-1

a_n=

B) Use the rule to find a_{12}

3

Determine if the sequence is arithmetic or geometric. Then write a formula for the

sequences. If it’s arithmetic, use: a_n=a_1+d(n-1), if it’s geometric, use: a_n=a_1(r)^n-1

1024, 256, 64, 16, . . .

a_1=

Common Ratio:

Formula: a_n=

3

Determine if the sequence is arithmetic or geometric. Then write a formula for the

sequences. If it’s arithmetic, use: a_n=a_1+d(n-1), if it’s geometric, use: a_n=a_1(r)^n-1

-7, -2, 3, 8, 13, ....

a_1=

Common Difference:

Formula: a_n=

M1 Unit 1 Test Review - Bartels

M1 Unit 1 Test Review - Bartels

Simplify the following expressions:

Simplify the following expressions:

Simplify the following expressions:

Simplify the following expressions:

Simplify the following expressions:given x=5

Simplify the following expressions:given y=-4

Find the percent increase or decrease of the following scenarios:The staff at a company went from 40 to 29 employees. What is the percent decrease in staff?

Find the percent increase or decrease of the following scenarios:At a supermarket, a certain item has increased from 75 cents per pound to 81 cents per pound. What is the percent increase in the cost of the item?

Determine if function (equation) demonstrates arithmetic, geometric or neither. Justify your answer.A.) a_n=6-4n

Determine if function (equation) demonstrates arithmetic, geometric or neither. Justify your answer.B.) a_n=-2∙(2)^n-1

Determine if function (equation) demonstrates arithmetic, geometric or neither. Justify your answer.C.) a_n=-2(1/{10})^n+5

Simplify the following expressions:

Simplify the following expressions:

Simplify the following expressions:

Simplify the following expressions:

Simplify the following expressions:given x=5

Simplify the following expressions:given y=-4

Find the percent increase or decrease of the following scenarios:The staff at a company went from 40 to 29 employees. What is the percent decrease in staff?

Find the percent increase or decrease of the following scenarios:At a supermarket, a certain item has increased from 75 cents per pound to 81 cents per pound. What is the percent increase in the cost of the item?

Determine if function (equation) demonstrates arithmetic, geometric or neither. Justify your answer.A.) a_n=6-4n

Determine if function (equation) demonstrates arithmetic, geometric or neither. Justify your answer.B.) a_n=-2∙(2)^n-1

Determine if function (equation) demonstrates arithmetic, geometric or neither. Justify your answer.C.) a_n=-2(1/{10})^n+5

Simplify the following expressions:
given x=5

Simplify the following expressions:
given y=-4

Find the percent increase or decrease of the following scenarios:
The staff at a company went from 40 to 29 employees. What is the percent decrease in staff?

Find the percent increase or decrease of the following scenarios:
At a supermarket, a certain item has increased from 75 cents per pound to 81 cents per pound. What is the percent increase in the cost of the item?

Determine if function (equation) demonstrates arithmetic, geometric or neither. Justify your answer.
A.) a_n=6-4n

Determine if function (equation) demonstrates arithmetic, geometric or neither. Justify your answer.
B.) a_n=-2∙(2)^n-1

Determine if function (equation) demonstrates arithmetic, geometric or neither. Justify your answer.
C.) a_n=-2(1/{10})^n+5

Simplify the following expressions:
given x=5

Simplify the following expressions:
given y=-4

Find the percent increase or decrease of the following scenarios:
The staff at a company went from 40 to 29 employees. What is the percent decrease in staff?

Find the percent increase or decrease of the following scenarios:
At a supermarket, a certain item has increased from 75 cents per pound to 81 cents per pound. What is the percent increase in the cost of the item?

Determine if function (equation) demonstrates arithmetic, geometric or neither. Justify your answer.
A.) a_n=6-4n

Determine if function (equation) demonstrates arithmetic, geometric or neither. Justify your answer.
B.) a_n=-2∙(2)^n-1

Determine if function (equation) demonstrates arithmetic, geometric or neither. Justify your answer.
C.) a_n=-2(1/{10})^n+5