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M1 Unit 1 Test Review - Bartels

Last updated 7 months ago
29 questions
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

1

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

1

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

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=_______