Gr. 9 Numeric and Geometric Patterns (3)

Consider the following number sequence: $1;\ 4;\ 9;\ 16;\ ...$  
Does the number sequence have a constant difference?

• Yes

• No

Tags

CCSS.HSF.BF.A.2

Consider the following number sequence: $1;\ 4;\ 9;\ 16;\ ...$  
Does the number sequence have a constant ratio?

• Yes

• No

Tags

CCSS.HSF.BF.A.2

Consider the following number sequence: $1;\ 4;\ 9;\ 16;\ ...$  
State the rule in words.

• Start with 1. Add 3 to each term to get the following term.

• Cube each term's position to get its value.
  

• Start with 1. Add 5 to each term to get the following term.

• Square each term's position to get its value.

Tags

CCSS.HSF.BF.A.2

Consider the following number sequence: $1;\ 4;\ 9;\ 16;\ ...$  
Give the next three terms.

•  $25;\ 36;\ 49$  
  

•  $23;\ 30;\ 37$  
  

•  $125;\ 216;\ 343$  
  

•  $32;\ 64;\ 128$  
  

Tags

CCSS.HSF.BF.A.2

Consider the following number sequence: $1;\ 4;\ 9;\ 16;\ ...$  
Give the 10th term.

•  $81$  
  

•  $100$  
  

•  $121$  
  

•  $144$  
  

Tags

CCSS.HSF.BF.A.2

Consider the following number sequence: $2;\ 6;\ 12;\ 20;\ ...$  
State the rule in words.

• Start with 2 and multiply each term with 3 to get the next term.

• Start by adding 4 to 2. Increase the number added each time by 3 to get the next term.
  

• Start by adding 4 to 2. Increase the number added each time by 2 to get the next term.

• Start with 2 and multiply each term with 4 to get the next term.
  

Tags

CCSS.HSF.BF.A.2

Consider the following number sequence: $2;\ 6;\ 12;\ 20;\ ...$  
Give the next three terms.

•  $40;\ 80;\ 160$  
  

•  $30;\ 42;\ 56$  
  

•  $24;\ 28;\ 32$  
  

•  $30;\ 40;\ 50$  
  

Tags

CCSS.HSF.BF.A.2

Consider the following number sequence: $1;\ 1;\ 2;\ 3;\ 5;\ 8;\ 13;\ 21;\ 34;\ 55;\ ...$  
Give the next three terms.

•  $144;\ 169;\ 196$  
  

•  $60;\ 65;\ 70$  
  

•  $76;\ 97;\ 118$  
  

•  $89;\ 144;\ 233$  
  

Tags

CCSS.HSF.BF.A.2