Free Printable 1st Periodical Test in Mathematics 10

1.

Give the next two terms of the given sequence:

\left\{3,5,7,9,11,...\right\}

a)

12, 13

b)

12, 14

c)

13, 15

d)

13, 16

2.

Give the nth term of the sequence

\left\{3,5,7,9,11,...\right\}

a)

$a_n=n+1$

b)

$a_n=n+2$

c)

$a_n=2n+1$

d)

$a_n=2n+2$

3.

What is the common difference of the sequence

\left\{5,\ 12,\ 19,\ 26,...\right\}

a)

$d=4$

b)

$d=5$

c)

$d=6$

d)

$d=7$

4.

TRUE OR FALSE:

Is $\left\{11,22,44,...\right\}$ an arithmetic sequence?

a)

TRUE

b)

FALSE

5.

Given $a_n=5n-3$ , find $a_3$ .

a)

$a_3=11$

b)

$a_3=12$

c)

$a_3=13$

d)

$a_3=14$

6.

Given $a_n=3^n+2$ , find $a_4$ .

a)

$a_4=83$

b)

$a_4=85$

c)

$a_4=86$

d)

$a_4=87$

7.

TRUE OR FALSE:

$\left\{-2,\ 6,-18,\ \ 48,...\right\}$ is a geometric sequence?

a)

TRUE

b)

FALSE

8.

Determine the common ratio : $\left\{5,15,45,135,..\right\}$

a)

r = 1

b)

r = 2

c)

r = 3

d)

r = 4

9.

Find the common ratio of $a_1=-2\ \ \ and\ \ \ a_3=-8$ .

a)

r = 2

b)

r = 3

c)

r = 4

d)

r = 5

10.

Give the sum of the finite geometric sequence.

$S_6=\left\{1,\ 3,\ 9,...\right\}$

a)

$S_6=362$

b)

$S_6=363$

c)

$S_6=364$

d)

$S_6=365$

11.

What is the common difference in the arithmetic sequence 5,13,21,29 ?

a)

6

b)

7

c)

8

d)

9

12.

The common ratio in the geometric sequence 80,40,20,10,...

is _____?

a)

$\frac{1}{4}$

b)

$\frac{1}{2}$

c)

2

d)

4

13.

What is the arithmetic mean between 4 and 76 ?

a)

28

b)

40

c)

52

d)

60

14.

The geometric mean between 2 and 72 is ______.

a)

16

b)

24

c)

37

d)

12

15.

What is the sum of the first 14 terms of the sequence 1,5,9,13,... ?

a)

287

b)

371

c)

378

d)

271

16.

What is the 15th term of

a_n=3n\left(-1\right)^n

?

a)

- 45

b)

- 35

c)

18

d)

20

17.

What is the sum of the whole numbers from 1 to 1000?

a)

500,500

b)

501,000

c)

500,000

d)

500, 100

18.

What is the common ratio of an infinite geometric series with a sum of 15 and the first term is 5?

a)

$\frac{1}{4}$

b)

$\frac{1}{2}$

c)

$\frac{2}{3}$

d)

$\frac{3}{4}$

19.

What is the sum of the infinite geometric series,

1+\frac{1}{4}+\frac{1}{16}+\frac{1}{64},...\ \ ?

a)

$\frac{4}{3}$

b)

$\frac{5}{3}$

c)

$2$

d)

$1$

20.

Is 1,8,15,22,... a geometric sequence?

a)

TRUE

b)

FALSE

21.

What is the 5th term of the arithmetic sequence with first term - 1 and common difference of - 6 ?

a)

-15

b)

-20

c)

-25

d)

-30

22.

What is the common difference of the arithmetic sequence with the general term

a_n=4n+3?

a)

3

b)

4

c)

7

d)

12

23.

What is the sum of the first seven terms of the arithmetic sequence with the first term 11 and common difference -4 ?

a)

7

b)

3

c)

-7

d)

-11

24.

What are the missing terms of the arithmetic sequence

23, ___,39,_____,_____,63 ?

a)

31, 47, 55

b)

32, 48, 56

c)

33, 43, 53

d)

34, 44, 54

25.

What is the fourth term of the geometric sequence with first term

-\frac{1}{36}

and common ratio of - 6 ?

a)

-6

b)

-1

c)

1

d)

6

26.

What is the sixth term of the geometric sequence with general term

a_n=5\left(2^{n-1}\right)

?

a)

80

b)

160

c)

240

d)

320

27.

What is the sum of the first three terms of the geometric sequence with first term 11 and a common ratio of 2 ?

a)

33

b)

66

c)

77

d)

cannot be determined

28.

What are the missing terms of the geometric sequence

-2, 6 , -12, ____ , _____ , 324 ?

a)

-36, -108

b)

-36, 108

c)

36, -108

d)

36, 108

29.

Is 1, 3, 5,7, 9, . . . geometric?

a)

YES

b)

NOT

30.

Is 1, 3, 9, 27, 81, . . . geometric?

a)

YES

b)

NOT

1st Periodical Test in Mathematics 10

Total questions: 30

Worksheet time: 1hrs 14mins

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