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Worksheets

Arithmetic Sequences and Their Properties

Total questions: 12

Worksheet time: 6mins

Name
Class
Date
1.

ما الذي يحدد تسلسل الحسابي؟

a)

تسلسل حيث يتم ضرب كل حد في عدد ثابت.

b)

تسلسل حيث يتم قسمة كل حد على عدد ثابت.

c)

تسلسل حيث يوجد فرق ثابت بين الحدود المتتالية.

d)

تسلسل حيث تكون الحدود مرتبة بشكل عشوائي.

2.

ما هو المصطلح التالي في السلسلة 3، 5، 7، 9، 11؟

a)

12

b)

13

c)

14

d)

15

3.

Is the sequence 2, 6, 10, 14, 18 an arithmetic sequence? If so, what is its common difference?

a)

Yes, common difference is 2.

b)

No, it is not an arithmetic sequence.

c)

Yes, common difference is 4.

d)

Yes, common difference is 6.

4.

Is the sequence -4, -8, -16, -32 an arithmetic sequence?

a)

Yes, because the numbers are decreasing.

b)

No, because the difference between consecutive terms is not constant.

c)

Yes, because each term is a multiple of 4.

d)

No, because the terms are negative.

5.

What are the first four terms of the sequence defined by the expression 4n - 1?

a)

3, 7, 11, 15

b)

4, 8, 12, 16

c)

1, 2, 3, 4

d)

0, 1, 2, 3

6.

Is the sequence defined by 4n - 1 an arithmetic sequence, and if so, what is its common difference?

a)

Yes, common difference is 4.

b)

Yes, common difference is 3.

c)

No, it is not an arithmetic sequence.

d)

Yes, common difference is -1.

7.

What is the common difference of the sequence defined by the expression 6 - n?

a)

6

b)

5

c)

-1

d)

1

8.

Is the sequence defined by the expression n^2 + 1 an arithmetic sequence?

a)

Yes, because the terms increase.

b)

Yes, because the common difference is 2.

c)

No, because the difference between consecutive terms is not constant.

d)

No, because it involves an exponent.

9.

What is the common difference of the arithmetic sequence 4, 8, 12, 16, ...?

a)

2

b)

4

c)

6

d)

8

10.

What is the formula for the nth term of the arithmetic sequence 4, 8, 12, 16, ...?

a)

4n

b)

n+4

c)

4n+1

d)

n-4

11.

What are the next three terms in the arithmetic sequence 3, 6, 9, 12, ...?

a)

15, 18, 21

b)

13, 14, 15

c)

14, 16, 18

d)

15, 20, 25

12.

What is the 12th term of the arithmetic sequence 4, 9, 14, 19, ...?

a)

59

b)

60

c)

58

d)

61