Free Printable 1ST SUMMATIVE TEST

1.

Which of the following is a correct description of an arithmetic sequence?

a)

A term is obtained by multiplying a constant number from the preceding term.

b)

A term is obtained by squaring the preceding term. c. A term is

c)

A term is obtained by adding a constant number to the preceding term.

d)

A term is obtained by extracting the square root of the preceding term.

2.

Which of the following is the common difference of the arithmetic sequence 4, 7, 10, 13, …?

a)

0

b)

1

c)

2

d)

3

3.

Which term of the arithmetic sequence 4,1,-2,-5......is -29?

a)

9th term

b)

10th term

c)

11th term

d)

12th term

4.

The first term of an arithmetic sequence is 2 while the 18th term is 87. Find the common difference of the sequence.

a)

7

b)

6

c)

5

d)

3

5.

Find a₂₆ in the arithmetic sequence: -15, -35, -55, -75, ...

a)

-515

b)

-535

c)

-490

d)

460

6.

Which of the following is an arithmetic sequence?

a)

2,3,5,8

b)

2,7,12,17

c)

1,1,2,3,5

d)

2,4,8,16

7.

Find the missing number in the pattern. 6, 14, ____, 30, 38,...

a)

18

b)

20

c)

24

d)

22

8.

How many terms are in an arithmetic sequence whose first term is -3,common difference is 2, and last term is 23?

a)

9

b)

12

c)

14

d)

23

9.

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

10.

Is 2, 6, 18, ... an arithmetic sequence or a geometric sequence?

a)

It is an arithmetic sequence.

b)

It is a geometric sequence.

11.

What is the 8th term of the sequence 2,6,18,...?

On solving the problem, what is the formula to be used?

a)

$a_n=a_1+\left(n-1\right)d$

b)

$a_n=a_1r^{n-1}$

12.

What is the 8th term of the sequence 2,6,18,...?

On solving the problem, what is the first term?

(a)

13.

What is the next term in the geometric sequence

0.75, 3, 12, 48, ... ?

a)

96

b)

144

c)

192

d)

240

14.

In a geometric sequence, the 4th term is -12 and the 5th term is -24. Find the common ratio.

a)

2

b)

-2

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

15.

Find the next three terms of the sequence

31104, 5184, 864, ___, ___, ___.

a)

104, 44, 24

b)

124, 44, 14

c)

144, 24, 4

d)

164, 54, 34

16.

A sequence where each term after the first is obtained by multiplying the preceding term by a nonzero constant called the common ratio (r).

a)

Arithmetic Sequence

b)

Geometric Sequence

c)

Harmonic Sequence

d)

Fibonacci Sequence

17.

In the geometric sequence

2, 6, 18, n, 162, ..., what is the value of n?

a)

54

b)

90

c)

24

d)

36

18.

Which of the following is a geometric sequence?

a)

1, 4, 7, 10, ...

b)

1, 2, 6, 24, ...

c)

1, 1, 2, 3, ...

d)

1, 3, 9, 27, ...

19.

which sequence has a common ratio of -2?

a)

4, 8, 16, 32

b)

4, -8, 16, -32

c)

32, 16, 8, 4

d)

-32, 16, -8, 4

20.

What is the sum of the first ten terms of the sequence 4, -12, 36, -144 . . . ?

a)

59,050

b)

-59,048

c)

-78,732

d)

118,096

21.

Find the sum of the geometric series.

2 + 12 + 72 + 432

a)

432

b)

518

c)

211

d)

438

22.

You have P100 in you bank account. It doubles every month. How much money will you have after 5 months?

a)

P5000

b)

P3500

c)

P3100

d)

P2500

23.

Find the sum of the first 20 terms of the sequence 16, 12, 8, 4, ...

a)

S₂₀ = -330

b)

S₂₀= -440

c)

S₂₀ = -540

d)

S20 = -220

24.

Find the sum of arithmetic series 1 + 4 + 7 + 10 + 13 + 16

a)

49

b)

50

c)

51

d)

52

25.

If a₁= 5, and a₁₀ = 68 , what is S₁₀?

a)

360

b)

362

c)

363

d)

365

26.

Divide using synthetic division
(2x³ + 4x² - 5) by (x + 3).

a)

2x² + 2x - 4 R(-12)

b)

2x² - 2x + 6 R(-23)

c)

2x² - 2x + 8 R(-20)

d)

2x² - 4x + 1 R0

27.

The answer to a division problem is known as the...?

a)

product

b)

sum

c)

difference

d)

quotient

28.

If 𝒙²+𝟑𝒙+𝟕 is divided by 𝒙+𝟐, then what is the remainder?

a)

0

b)

-3

c)

9

d)

5

29.

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

a)

3 0 -4 6 1

b)

6 -4 3 1 0

c)

6 -4 0 3 1

d)

-6 4 0 -3 -1

30.

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

a)

0

b)

2

c)

4

d)

6

31.

When setting up synthetic division, what do you need to do with the divisor?

a)

Change the sign of the number and write it on the outside

b)

Write it at the end on the inside

c)

Combine the terms and write it on the outside

d)

Change the sign and write in on the inside

32.

Find the Quotient
(2x³ - 5x² - 3x + 7) / (x - 2)

a)

2x²- 9x +15

b)

2x² - x - 5

c)

2x² - 9x - 21

d)

2x² + x + 5

33.

If 𝒙²+𝟑𝒙+𝟕 is divided by 𝒙+𝟐, then what is the remainder?

a)

0

b)

-3

c)

9

d)

5

34.

Identify the Quotient or Q(x) of the given synthetic division set up.

a)

$5x^3+5x^2+8$

b)

$5x^2-5x-8$

c)

$5x^2+5x^{ }+8$

d)

$5x^3-5x^2-8$

35.

Which term is missing in this problem?
2x³ + 5x² + 9 ÷
x + 3

a)

x⁴

b)

x³

c)

x²

d)

x

1ST SUMMATIVE TEST

Total questions: 35

Worksheet time: 1hrs 5mins

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