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Gr. 9 Numeric and Geometric Patterns (2)

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

The following sequence is given:  1; 2; 4; 8; 16; ...1;\ 2;\ 4;\ 8;\ 16;\ ...  
State the rule for the sequence in words.

a)

Start with 1. Add 2 to each previous term get the next term.

b)

Start with 1. Multiply each previous term with 2 to get the next term.

c)

Start with 1. Multiply each previous term with 3 to get the next term.

d)

Start with 1. Multiply each previous term with 4 to get the next term.

2.

The following sequence is given: 1; 2; 4; 8; 16; ...1;\ 2;\ 4;\ 8;\ 16;\ ...  
What is the constant ratio?

a)

 12\frac{1}{2}  

b)

 11  

c)

 22  

d)

 −2-2  

3.

The following sequence is given: 1; 2; 4; 8; 16; ...1;\ 2;\ 4;\ 8;\ 16;\ ...  
Give the next three terms.

a)

 32; 48; 5432;\ 48;\ 54  

b)

 24; 48; 9624;\ 48;\ 96  

c)

 24; 32; 4824;\ 32;\ 48  

d)

 32; 64; 12832;\ 64;\ 128  

4.

The following sequence is given:  2; 6; 18; 54; ...2;\ 6;\ 18;\ 54;\ ...  
State the rule for the sequence in words.

a)

Start with 2. Add 4 to each previous term get the next term.

b)

Start with 2. Multiply each previous term with -2 to get the next term.

c)

Start with 2. Multiply each previous term with 3 to get the next term.

d)

Start with 2. Multiply each previous term with 4 to get the next term.

5.

The following sequence is given: 2; 6; 18; 54; ...2;\ 6;\ 18;\ 54;\ ...  
What is the constant ratio?

a)

 12\frac{1}{2}  

b)

 11  

c)

 22  

d)

 33  

6.

The following sequence is given: 2; 6; 18; 54; ...2;\ 6;\ 18;\ 54;\ ...  
Give the next three terms.

a)

 162; 486; 1458162;\ 486;\ 1458  

b)

 72; 90; 10872;\ 90;\ 108  

c)

 108; 216; 432108;\ 216;\ 432  

d)

 18; 6; 218;\ 6;\ 2  

7.

The following sequence is given:  8; 4; 2; 1; ...8;\ 4;\ 2;\ 1;\ ...  
State the rule for the sequence in words.

a)

Start with 8. Subtract 4 to each previous term get the next term.

b)

Start with 4. Multiply each previous term with 22 to get the next term.

c)

Start with 8. Multiply each previous term with  13\frac{1}{3}   to get the next term.

d)

Start with 8. Multiply each previous term with  12\frac{1}{2}   to get the next term.

8.

The following sequence is given: 8; 4; 2; 1; ...8;\ 4;\ 2;\ 1;\ ...  
What is the constant ratio?

a)

 12\frac{1}{2}  

b)

 11  

c)

 22  

d)

 33  

9.

The following sequence is given: 8; 4; 2; 1; ...8;\ 4;\ 2;\ 1;\ ...  
Give the next three terms.

a)

 13; 16; 112\frac{1}{3};\ \frac{1}{6};\ \frac{1}{12}  

b)

 12; 14; 18\frac{1}{2};\ \frac{1}{4};\ \frac{1}{8}  

c)

 2; 4; 82;\ 4;\ 8  

d)

 12; 18; 116\frac{1}{2};\ \frac{1}{8};\ \frac{1}{16}  

10.

 0; 1; 1; 2; 3; 5; 8; 13; 21; 34; 55; ...0;\ 1;\ 1;\ 2;\ 3;\ 5;\ 8;\ 13;\ 21;\ 34;\ 55;\ ...  What is the given number sequence called?

a)

Leonardo sequence

b)

Pisa sequence

c)

Italian sequence

d)

Fibonacci sequence