Free Printable ALGEBRA CROSS-FIT | ALGEBRAIC SEQUENCES

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.

What is the common difference in the sequence: -4, 3, 10, 17,, …?

a)

1

b)

-7

c)

7

d)

-1

4.

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

a)

9th term

b)

10th term

c)

11th term

d)

12th term

5.

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

6.

Find p so that the numbers 7p +2,5p +12,2p-1,....form an arithmetic sequence.

a)

-23

b)

-13

c)

-5

d)

-8

7.

Which term of the arithmetic sequence 5,9,13,17,.....is 401?

a)

99th term

b)

100th term

c)

111th term

d)

112 term

8.

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

a)

yes

b)

no

9.

Identify the common difference.

97, 86, 75, 64, ...

a)

8

b)

-11

c)

11

d)

-8

10.

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

a)

-515

b)

-535

c)

-490

d)

460

11.

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

12.

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

a)

18

b)

20

c)

24

d)

22

13.

Which term of the arithmetic sequence 4,1, -2 -5, … is -32?

a)

10th

b)

11th

c)

12th

d)

13th

14.

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

15.

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

16.

What is the common difference in the sequence 2, 5, 8, 11, ...?

a)

2

b)

3

c)

5

d)

8

17.

What sequence is formed by the pyramid cans?

a)

1, 2, 3, 4, 5

b)

1, 3, 5, 7, 9

c)

1, 4, 2, 3, 5

d)

1, 3, 5, 2, 4

18.

Common difference can be calculated by _______________ any two consecutive terms in the arithmetic sequence.

a)

adding

b)

subtracting

c)

multiplying

d)

dividing

19.

What is the next term in the arithmetic sequence 1, 8, 15, ___?

a)

22

b)

23

c)

25

d)

27

20.

These are the terms between any two nonconsecutive terms of an arithmetic sequence.

a)

Opposite terms

b)

Arithmetic means

c)

Common difference

d)

nth Terms

21.

Which of the following is an arithmetic sequence?

a)

3, 10, 17, 24, 31, …

b)

1, 1, 2, 3, 5,…

c)

2, 4, 8, 16, …

d)

1, -1, 2, -2, 3, -3, …

22.

What is the 30^th term of the arithmetic sequence 7, 13, 19, 25, …?

a)

123

b)

133

c)

137

d)

141

23.

If a₁= 11, a₂₄=264, and n =24, what is the common difference?

a)

5

b)

8

c)

11

d)

14

24.

If a₁ = 30, d = 2, and n = 40, find a₄₀.

a)

81

b)

108

c)

120

d)

131

25.

Insert two arithmetic means between 4 and 28.

a)

8 and 16

b)

12 and 24

c)

12 and 20

d)

10 and 24

26.

The sum of the terms in a sequence is known as a Series

a)

True

b)

False

27.

What is the formula for the sum of the first n terms of a geometric sequence?

a)

$ar^n$

b)

$ar^{n-1}$

c)

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

d)

None of these

28.

Which letter in the formula for the sum of the first n terms of a geometric series denotes the first term of the geometric series?

a)

a

b)

n

c)

r

d)

none of these

29.

What is the value of r the common ratio of this series 1+5+25+125,,?

a)

1

b)

4

c)

5

d)

156

30.

Is the following a geometric series 1, 2, 4, 8,16,,,?

a)

Yes

b)

No

31.

The sum of the terms in a sequence is known as a Series.

a)

True

b)

False

32.

Find the sum of the first 4 terms of the geometric series 1 + 0.5 + 0.25 + ?

a)

1.875

b)

0.125

c)

1.75

d)

None of these

33.

Is the sum of the first n terms of a geometric series always positive?

a)

Yes

b)

no

34.

Is the 1 + 2 + 4 + 7,, a geometric series?

a)

yes

b)

No

35.

What is your Name

4 lines

36.

Identify the movie of this song

a)

Ala vaikuntapuram lo

b)

Bharth ane nenu

c)

Ghayam

d)

Deyyam

37.

Identify the colour of the leafs this flower

a)

Blue

b)

Red

c)

Yellow

d)

Green

38.

A sequence in which each term is obtained by multiplying the preceding term by a constant is called __________.

a)

sequence

b)

series

c)

arithmetic

d)

geometric

39.

the constant $r$ in a geometric sequence is called the ________.

a)

common rate

b)

common radius

c)

common ratio

d)

common root

40.

The sequence $3,\ 6,\ 12,\ 24,\ ...$ is a ______________.

a)

arithmetic sequence

b)

arithemtic series

c)

geometric sequence

d)

geometric series

41.

In the sequence $3,\ 9,\ 27,\ 81,\ ...$ the common ratio $r$ = _____.

a)

1

b)

2

c)

3

d)

9

42.

In the sequence $120,\ 60,\ 30,\ 15,\ ...$ , what is the next term?

a)

$\frac{15}{2}$

b)

$15$

c)

$8$

43.

If the geometric sequence has a common ratio is 1, what happen to the sequence?

a)

increasing

b)

decreasing

c)

constant

44.

The first four terms of the geometric sequence with $r=2$ and $a_1=7$ is ________________.

a)

$7,\ 14,\ 21,\ 28$

b)

$7,\ 14,\ 28,\ 56$

c)

$7,\ 49,\ 343,\ 2401$

45.

Which of the following sequence is both arithmetic and geometric?

a)

$1,\ 2,\ 2,\ 3,\ 5,\ 8,\ ...$

b)

$\frac{3}{2},\frac{5}{4},\frac{7}{8},\frac{9}{16},...$

c)

$-3,\ -3,\ -3,\ -3,\ ...$

d)

$2,\ 0,\ 0\ ,0,\ 0,\ ...$

ALGEBRA CROSS-FIT | ALGEBRAIC SEQUENCES

Total questions: 45

Worksheet time: 23mins

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