M1 Unit 1 Test Review - Bartels

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

Number of Terms:

Leading Coefficient:

Constant(s):

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:

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=#):

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=#):

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=#):

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=#):

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?

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.

Find the next two terms in the sequence.

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

Find the next two terms in the sequence.

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

Find the next two terms in the sequence.

C.) 67, 47, 27, ,

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:

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:

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:

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:

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}

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=

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=