Free Printable Test #6 -Review Lessons 19-21

1.

Find the 22nd term of the following sequence:
5, 8, 11, ...

a)

14

b)

68

c)

63

d)

71

2.

Identify the common difference.
97, 86, 75, 64, ...

a)

8

b)

11

c)

-11

d)

-8

3.

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

a)

18

b)

17

c)

15

d)

14

4.

The next two terms of the sequence 4,7,10,13 are ....

a)

16 and 19

b)

15 and 19

c)

16 and 18

d)

15 and 18

5.

Is the sequence arithmetic: 17, 9, 1, -7, ...

a)

Yes

b)

No

6.

Find the sum of the arithmetic series described:

2 + (-2) + (-6) + (-10)..., S₁₀

a)

-160

b)

-328

c)

-320

d)

-336

7.

a₁=5, a₂=11, a₁₅=?

a)

95

b)

89

c)

81

d)

159

8.

Expand: $\sum_{k=3}^6\left(2k-1\right)$

a)

4, 6, 8, 10

b)

4, 6, 8

c)

5, 7, 9, 11

d)

5, 7, 9

9.

Is the sequence 7, 9, 12, 16,... geometric?

a)

yes

b)

no

10.

Find the common ratio: 4, -16, 64, -256, ...

a)

r = -4

b)

r = 2

c)

r = -2

d)

r = 4

11.

Which formula is used to find the explicit equation for geometric sequences?

a)

a_n = a_n-1 + d

b)

a_n = a_n-1 * r

c)

a_n = a₁ + d(n-1)

d)

a_n = a₁ * r^n-1

12.

Find the next three terms: 4, 12, 36, 108, ...

a)

324, 972, 2916

b)

972, 2916, 8748

c)

405, 1215, 3645

13.

Write the explicit formula for the geometric sequence.

a)

a_n = 2(100)^n-1

b)

a_n = 100(2)^n-1

c)

a_n = 100(1/2)^n-1

d)

a_n = (1/2)(100)^n-1

14.

You have $10 in you bank account. It doubles every month. How much money will you have after 5 months?

a)

$50

b)

$35

c)

$320

d)

$250

15.

What is the sum of the first 10 terms for the following geometric series:
2-6+18-54+...

a)

59048

b)

-29524

c)

524288

d)

3069

16.

What is the common ratio for the sequence:
28, 14, 7, 3.5...

a)

2

b)

1/2

c)

-14

d)

-7

17.

Which sequence is represented by the equation 2(7)^n-1 ?

a)

7, 14, 28, 56...

b)

2, 14, 98, 686...

c)

2, 9, 16, 23...

d)

7,9,11,13...

18.

Find the 13th term:
2, 6, 18, 54, ….

a)

1,000,000

b)

1,062,882

c)

123,587

d)

5 bazillion

19.

Find the sum of the first 9 terms: -2 + -6 + -18 + ...

a)

-59,048

b)

-39,366

c)

-19,682

d)

-4,374

20.

The first term of a geometric sequence is 18 and the common ratio is 3.5. What is the 5th term of the sequence?

a)

2701

b)

2700

c)

2701.125

d)

2913.24

21.

-21, -16, -11, -6, ...

Is this sequence arithmetic, geometric, or neither?

a)

arithmetic (common difference d = 5)

b)

geometric (common ratio r = 5)

c)

neither (no common difference OR common ratio) neither (no common difference OR common ratio)

22.

Calculate the sum of the terms of the following geometric sequence:
1, 1/2, 1/4, 1/8, 1/16...

a)

2

b)

3

c)

1

23.

Find the sum of the infinite geometric series, if it exists:
2 + (16/7) + (128/49) + (1024/343) + ...

a)

Does not exist

b)

14

c)

208.32

24.

Is the pictured graph growth, decay, or linear or none?

a)

Growth

b)

Decay

c)

Linear

d)

None

25.

Is the pictured graph growth, decay, or linear or none?

a)

Growth

b)

Decay

c)

Linear

d)

None

26.

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

a)

(.27)^x

b)

.27

c)

13

d)

3.51

27.

Is the following function and example of decay or growth?

f(x)=2(0.85)^x

a)

Exponential Decay

b)

Exponential Growth

28.

Is the following function an example of decay or growth?

f(x) = 2(1.25)^x

a)

Exponential Growth

b)

Exponential Decay

29.

What is the x-intercept of the exponential function?

a)

(0,1)

b)

(0,0)

c)

There is not one

30.

Classify the function, f(x) = 6.5(0.85)^x.

a)

exponential growth

b)

exponential decay

c)

positive linear

d)

negative linear

31.

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
Is the population of elephants increasing or decreasing?

a)

Increasing

b)

Decreasing

32.

If a table's pattern is that the f(x) values are being divided by 3, what is the common ratio?

a)

3

b)

-3

c)

1/3

d)

-1/3

33.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

34.

What is the asymptote of the function $y=4\left(5\right)^x?$

a)

y = 0

b)

y = 4

c)

y = 5

35.

For $y=a\left(b\right)^x+k$ , how does adding a constant transform the parent function?

a)

Horizontal shift

b)

Vertical Shift

c)

Reflection over the x-axis

d)

Reflection over the y-axis

36.

For $y=a\left(b\right)^x+k$ , how can the coefficient transform the function?

a)

Horizontal shift

b)

Vertical Shift

c)

Reflection over the x-axis

d)

Reflection over the y-axis

37.

How has the function $7\left(3\right)^x-5$ been transformed from the parent function $7\left(3\right)^x$ ?

a)

Shifted up 5

b)

Shifted down 5

c)

Reflection over the x-axis

d)

Reflection over the y-axis

38.

How has the function $-5\left(3\right)^x$ been transformed from the parent function $5\left(3\right)^x$ ?

a)

Shifted up 5

b)

Shifted down 5

c)

Reflection over the x-axis

d)

Reflection over the y-axis

39.

Identify the asymptote of the function $-3\left(3\right)^x+4$

a)

y = -3

b)

y = 1

c)

y = 4

40.

Match the graph to the correct equation

a)

$-3\left(3\right)^x+2$

b)

$-3\left(\frac{1}{3}\right)^x+2$

c)

$-3\left(3\right)^x-2$

d)

$-3\left(\frac{1}{3}\right)^x-2$

41.

Match the graph to the correct equation

a)

$-3\left(4\right)^x+2$

b)

$-3\left(\frac{1}{4}\right)^x+2$

c)

$3\left(4\right)^x+2$

d)

$3\left(\frac{1}{4}\right)^x+2$

42.

Match the graph to the correct equation

a)

$y=-\left(\frac{1}{4}\right)^x-2$

b)

$y=4^x-2$

c)

$y=-4^x-2$

d)

$y=\left(\frac{1}{4}\right)^x-2$

Test #6 -Review Lessons 19-21

Total questions: 42

Worksheet time: 11hrs 30mins

Similar Resources on Wayground