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Sequences, Algebraic Products and Factors

Total questions: 15

Worksheet time: 13mins

Name
Class
Date
1.

Q1. Find the common difference:

-34, -29, -24, -19, ...

a)

d = -5

b)

d = 5

c)

d = -6

d)

d = 6

2.

Q2. 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

3.

Given the sequence:

25, 21, 17, 13,...


Write the nth Term formula for the sequence.

a)

4n + 29

b)

-4n + 25

c)

-4n + 29

d)

4n + 25

4.

Find the nth term for the following quadratic sequence...


7, 13, 23, 37, 55...

a)

2n2 + 5

b)

2n2 + 5n

c)

n2 + 5

d)

n2 - 5

5.

What is the 4th term of the sequence with nth term


2n2 - 6n + 15 ?

a)

23

b)

25

c)

27

d)

19

6.

Simplify


(7r-6)(7r+6)

a)

49r2+36

b)

49r2- 36

c)

49r2+84r+36

d)

49r2+42r+36

7.

Simplify


(2u-4v)2

a)

4u2-8uv+16v2

b)

4u2-16uv+16v2

c)

4u2-16v2

d)

4u2+8uv+16v2

8.

Simplify


4x(4x+7y)

a)

16x2 + 28xy

b)

16x2 + 7xy

c)

16x2 + 47xy

d)

16x2 + 28x

9.

Simplify:


3a(5a2 + 8a + 2)

a)

15a3 + 24a2 + 6a

b)

10a3 + 24a + 6

c)

8a3 + 11a2 + 6a

d)

15a3 + 24a + 6

10.

Find the product:


(3x + 2)(2x + 4)

a)

6x2 + 16x + 8

b)

5x2 +11x + 6

c)

5x2 + 16x + 6

d)

6x2 + 11x + 8

11.

Factorise


8m + 32m2n.

a)

8(m+4m2n)

b)

8m(1+4mn)

c)

8m(1+n)

d)

4m(2+8mn)

12.

Factorise:


x2 + 13x + 30

a)

(x + 3)(x + 10)

b)

(x + 5)(x + 6)

c)

(x + 2)(x + 15)

d)

(x + 1)(x + 30)

13.

Factorise:


6x² + 13x + 6

a)

(6x + 6)(x + 1)

b)

(4x + 2)(2x + 3)

c)

(x + 5)(4x + 4)

d)

(3x + 2)(2x + 3)

14.

Factor by grouping:


4p³+8p²+3p+6

a)

(2p²+3)(p+2)

b)

(2p²+6)(p+4)

c)

(4p²+3)(p+2)

d)

(4p²+8p)(3p+6)

15.

Factorise


4x2- 25

4 lines