Free Printable Sequences, Series and Conic Sections Practice Test

1.

10, 15, 20, 25, 30, 35, 40, ...........

Is this sequence arithmetic, geometric or something else?

a)

Geometric

b)

Arithmetic

c)

Something Else

2.

10, 20, 40, 80, 160, 320, 640, ........

Is this sequence arithmetic, geometric or something else?

a)

Geometric

b)

Arithmetic

c)

Something Else

3.

500, 250, 0, -250, -500. -750, -1000, .......

Is this sequence arithmetic, geometric or something else?

a)

Geometric

b)

Arithmetic

c)

Something Else

4.

500, 250, 125, 62.5, 31.25, 15.625, 7.8125, .........

Is this sequence arithmetic, geometric or something else?

a)

Geometric

b)

Arithmetic

c)

Something Else

5.

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, .......

Is this sequence arithmetic, geometric or something else?

a)

Geometric

b)

Arithmetic

c)

Something Else

6.

6, 18, 54, 162, 486, 1458, 4374, 13122, ......

Is this sequence arithmetic, geometric or something else?

a)

Geometric

b)

Arithmetic

c)

Something Else

7.

80, 88, 96, 104, 112, 120, 128, 136, .........

Is this sequence arithmetic, geometric or something else?

a)

Geometric

b)

Arithmetic

c)

Something Else

8.

$\frac{4}{27},\ \frac{4}{9},\ \frac{4}{3},\ 4,\ 12,\ 36,\ 108,\ 324,\ ..........$

Is this sequence arithmetic, geometric or something else?

a)

Geometric

b)

Arithmetic

c)

Something Else

9.

16, 8, 4, 2, 1, 0.5, 0.25, 0.125, .......

Is this sequence arithmetic, geometric or something else?

a)

Geometric

b)

Arithmetic

c)

Something Else

10.

157.9, 158, 158.1, 158.2, 158.3, 158.4, 158.5, .......

Is this sequence arithmetic, geometric or something else?

a)

Geometric

b)

Arithmetic

c)

Something Else

11.

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

a)

63, 72, 81

b)

79, 88, 97

c)

70, 79, 88

d)

61, 70, 79

12.

If the nth term of a sequence is 5n-4, what are the first three terms?

a)

5, 9, 13

b)

5, 4, 3

c)

-4, 1, 6

d)

1, 6, 11

13.

If a sequence has the nth term formula 10n-51, what is the value of the 25th term?

a)

250

b)

200

c)

199

d)

159

14.

3, 5, 7, 9, 11, 13, 15, .........

Find the nth term of this arithmetic sequence.

a)

2n+1

b)

2n-1

c)

2n+2

d)

2n-2

15.

8, 13, 18, 23, 28, 33, ...........

Find the nth term of this arithmetic sequence

a)

5n+3

b)

5n-2

c)

3n+5

d)

-2n+5

16.

2, 1, 0, -1, -2, -3, ........

Find the nth term of this arithmetic sequence

a)

-3n+1

b)

-n+3

c)

-2n+4

d)

-4n+2

17.

10, 20, 40, 80, ...........

Find the common ratio for the geometric sequence.

a)

10

b)

1/2

c)

2

d)

4

18.

512, 256, 128, .............

What are the next 3 terms in this geometric sequence?

a)

1024, 2048, 4096

b)

32, 8, 2

c)

64, 32, 16

d)

92, 66, 38

19.

3, -12, 48, -192, ................

What is the explicit nth term formula for this geometric sequence?

a)

$a_n=4\times3^{n-1}$

b)

$a_n=3\times4^{n-1}$

c)

$a_n=-4\times3^{n-1}$

d)

$a_n=3\times\left(-4\right)^{n-1}$

20.

$a_n=4\times5^{n-1}$

Find the first four terms of the sequence with this explicit nth term formula.

a)

20, 100, 500, 2500

b)

5, 20, 80, 320

c)

4, 20, 100, 500

d)

4, 9, 14, 19

21.

Find the common ratio of the geometric sequence
$2,\ \frac{1}{2},\ \frac{1}{8},\ \frac{1}{32},\ ...$

a)

$\frac{1}{3}$

b)

$\frac{1}{12}$

c)

$\frac{1}{16}$

d)

$\frac{1}{4}$

22.

Find the sum: 11 + 15 + 19 + .......+ 83

a)

19

b)

83

c)

893

d)

624

23.

Find the sum: 50 + 48 + 46 + ..... + 10

a)

630

b)

21

c)

210

d)

1260

24.

6 + 11 + 16 + 21 + 26 + 31 + 36

a)

147

b)

145

c)

143

d)

141

25.

4 + 12 + 36 + 108 + 324 + 972 + 2916 + 8748

Evaluate this geometric series.

a)

3280

b)

13120

c)

4372

d)

39364

26.

120 + 60 + 30 + 15 + 7.5 + .........+ 0.9375

Evaluate this geometric series.

a)

238.125

b)

118.125

c)

8

d)

237.1875

27.

100 + 50 + 25 + 12.5 + .................

Evaluate the infinite geometric series.

a)

400

b)

100

c)

200

d)

0.5

28.

$900\ +\ \frac{100}{3}\ +\ \frac{100}{81}\ +\ \frac{100}{2187}\ +\ .........$

Evaluate the infinite geometric series.

a)

$\frac{1}{27}$

b)

A small piece of cheese

c)

1350

d)

$\frac{12150}{13}$

29.

What is the correct formula to find the explicit nth term of an arithmetic sequence?

a)

$a+\left(n-1\right)d$

b)

$a\times r^{n-1}$

c)

$\frac{n}{2}\left(2a+\left(n-1\right)d\right)$

d)

$\frac{a\left(1-r^n\right)}{1-r}$

30.

What is the correct formula to find the explicit nth term of a geometric sequence?

a)

$a+\left(n-1\right)d$

b)

$a\times r^{n-1}$

c)

$\frac{n}{2}\left(2a+\left(n-1\right)d\right)$

d)

$\frac{a\left(1-r^n\right)}{1-r}$

31.

What is the correct formula to find sum of an arithmetic series?

a)

$a+\left(n-1\right)d$

b)

$a\times r^{n-1}$

c)

$\frac{n}{2}\left(2a+\left(n-1\right)d\right)$

d)

$\frac{a\left(1-r^n\right)}{1-r}$

32.

What is the correct formula to find the sum of a geometric series?

a)

$a+\left(n-1\right)d$

b)

$a\times r^{n-1}$

c)

$\frac{n}{2}\left(2a+\left(n-1\right)d\right)$

d)

$\frac{a\left(1-r^n\right)}{1-r}$

33.

What is the correct formula to find the sum of an infinite geometric series?

a)

$a+\left(n-1\right)d$

b)

$a\times r^{n-1}$

c)

$\frac{n}{2}\left(2a+\left(n-1\right)d\right)$

d)

$\frac{a}{1-r}$

34.

What is the center of the ellipse?

a)

(0, 0)

b)

(1, 5)

c)

(1, 0)

d)

(0, 1)

35.

What is the centre of this ellipse?

a)

(0, 0)

b)

(7, 1) and (-1, 1)

c)

(3, -5) and (3, 7)

d)

(3, 1)

36.

Which type of conic section is this equation?

a)

circle

b)

ellipse

c)

hyperbola

d)

parabola

37.

Which type of conic section is this equation?

a)

circle

b)

ellipse

c)

hyperbola

d)

parabola

38.

Which type of conic section is this equation?

a)

circle

b)

ellipse

c)

hyperbola

d)

parabola

39.

Which type of conic section is this equation?

a)

circle

b)

ellipse

c)

hyperbola

d)

parabola

40.

Which type of conic section is this equation?

a)

circle

b)

ellipse

c)

hyperbola

d)

parabola

41.

a)

Circle

b)

Ellipse

c)

Parabola

d)

Hyperbola

42.

a)

Circle

b)

Ellipse

c)

Parabola

d)

Hyperbola

43.

a)

Circle

b)

Ellipse

c)

Parabola

d)

Hyperbola

44.

a)

Circle

b)

Ellipse

c)

Parabola

d)

Hyperbola

45.

(x-3)²+ (y-2)²= 16

What are the coordinates of this circle's centre?

a)

(3,2)

b)

(-3, -2)

c)

(-2, -3)

d)

(2, 3)

46.

(x+2)²+ (y-3)²= 4

What is the radius of this circle?

a)

4

b)

2

c)

3

d)

16

47.

What is the equation of the circle?

a)

(x+1)² + (y +1)² = 3

b)

(x+1)² + (y -1)² = 3

c)

(x+1)² + (y +1)² = 9

d)

(x-1)² + (y -1)² = 9

48.

Find the graph to this equation

a)

b)

c)

d)

49.

Find the graph to this equation

a)

b)

c)

d)

50.

Find the graph to this equation

a)

b)

c)

d)

Sequences, Series and Conic Sections Practice Test

Total questions: 50

Worksheet time: 1hrs 26mins

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