Free Printable Week 6 Review

1.

Define arithmetic sequences.

a)

A sequence whose terms change by adding the same number each time.

b)

A sequence whose terms change by multiplying the same number each time.

c)

A sequence whose terms change by dividing the same number each time.

d)

A list of numbers that often (but not always) form a pattern.

2.

Define common difference.

a)

the product between two consecutive terms of a geometric sequence.

b)

the product between two consecutive terms of an arithmetic sequence.

c)

the difference between two consecutive terms of an arithmetic sequence.

d)

the difference between two consecutive terms of a geometric sequence.

3.

Is the sequence arithmetic: 37, 31, 25, 19, ...

a)

Yes

b)

No

4.

Find the next three terms in the arithmetic sequence: 9, 19, 29, 39, ...

a)

45, 54, 63

b)

49, 59, 69

c)

39, 49, 59

d)

59, 69, 79

5.

Identify the common difference.
3, 7, 11, 15, ...

a)

6

b)

5

c)

4

d)

2

6.

Write the explicit formula for the sequence.

9, 5, 1, -3, ...

a)

$a_n=9+5\left(n-1\right)$

b)

$a_n=9-4\left(n-1\right)$

c)

$a_n=4+9\left(n-1\right)$

d)

$a_n=9\cdot4^{\left(n-1\right)}$

7.

Find the explicit formula:
-23, -16, -9, -2, ...

a)

a_n = -23 + 7(n -1)

b)

a_n = -23 - 7(n -1)

c)

a_n = 7 - 23(n -1)

d)

a_n = 7 + 23(n -1)

8.

Identify a₁ and d for the sequence
-5, -2, 1, 4, ...

a)

a₁ = 3 and d = -5

b)

a₁= -8 and d = 3

c)

a₁ = -5 and d = 3

d)

a₁ = -5 and d = -3

9.

What is the explicit formula?

5, -3, -11, -19, ...

a)

$a_n\ =\ 5\ +\ -6\left(n-1\right)$

b)

$a_n=5\ +\ -8\left(n-1\right)$

c)

$a_n=5\ +\ 6\left(n-1\right)$

d)

$a_n=11\ +\ 6\left(n-1\right)$

10.

What is the explicit formula?

2, 11, 20, 29, ...

a)

$a_n\ =\ -5+\ -7\left(n-1\right)$

b)

$a_n=2+\ -7\left(n-1\right)$

c)

$a_n=2\ +\ 7\left(n-1\right)$

d)

$a_n=2\ +\ 9\left(n-1\right)$

11.

Use the Function Rule to determine the 27th term in the given sequence.
-5, -7, -9, -11, ...

a)

-59

b)

-57

c)

-132

d)

-137

12.

Find a₂₀ in the arithmetic sequence: 5, 12, 19, 26...

a)

145

b)

144

c)

142

d)

138

13.

Find 26th term in the arithmetic sequence: -15, -35, -55, -75, ...

a)

-515

b)

-490

c)

-535

d)

460

14.

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

a)

-216

b)

-148

c)

-146

d)

-150

15.

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

a)

-216

b)

-148

c)

-146

d)

-150

16.

Is the sequence arithmetic? If so, state the common difference.

35, 40, 50, 55, ...

a)

no

b)

yes, common difference = 5

c)

yes, common difference = 10

d)

yes, common difference = 15

17.

What is the domain of the graph?

a)

-3 ≤ x ≤ 3

b)

3 ≤ x ≤ -3

c)

-2 ≤ x ≤ 10

d)

-3 ≤ x ≤ 10

18.

What is the Range?

a)

-3 ≤ y < 2

b)

-3 < y ≤ 2

c)

-7 ≤ y ≤ 2

d)

-7 ≤ y < 2

19.

What is the y-intercept of the graph?

a)

(-2,5)

b)

(1,0)

c)

(0,1)

d)

(-3.104, 0)

20.

What is f(2)?

a)

-4

b)

2

c)

-2

d)

4

Week 6 Review

Total questions: 20

Worksheet time: 1hrs 21mins

Similar Resources on Wayground