Sequences

Describe the pattern in the sequence. What are the next two terms of the sequence
a. 14, 11, 8, 5,....

• The pattern is "subtract 3 from the previous number";2, -1
• The pattern is multiply the previous number by 14/11; 5/11, 25/121
• The pattern is add 3 to the previous number; 2, -1
• The pattern is subtract -3 to the previous number; 2, -1

Describe the patter in the sequence. What are the next two terms of the sequence.
15, 20, 25, 30, 35,...

• The pattern is "add 5 to the previous number" 45, 50
• The pattern is "subtract 5 from the previous number" 40, 45
• The pattern is "add 5 to the previous number" 40, 45
• The pattern is " add 10 to the previous number" 45, 50

Tell whether the sequence is arithmetic. If it is, what is the common difference?
-6, 2, 10, 18,...

• Arithmetic: 8
• Arithmetic: -8
• Arithmetic: 2
• Not Arithmetic

Tell whether the sequence is arithmetic. If it is, what is the common difference?
1, 2, 4, 8

• Arithmetic: 2
• Arithmetic: -2
• Arithmetic: 8
• Not Arithmetic

Which shows a recursive formula for a sequence whose initial term is 14 and whose common difference is -4?

• A(1)= 14; A(n)=A(n-1)-4
• A(1)=-4; A(n)=A(n-1)+14
• A(1) = 14; A(n)=-4A(n-1)
• A(1)=-4; A(n) = 14A(n-1)

Which shows an explicit formula for a sequence whose initial term is 14 and whose common difference is -4?

• A(n) = 14n-4
• A(n) = -4n+18
• A(n)= -4n+10
• A(n)= n-4

Jason is studying a new plant food for a science experiment. The plan is 14 cm tall when the experiment begins and grows at a rate of 1.5 cm per week. What will the height of the plant be after 5 weeks?

• 7.5 cm
• 23 cm
• 21.5 cm
• 18.5 cm 

What is the common ratio for the sequence 5, -25, 625, -3125,...?

• 1/5
• -5
• 5
• -25

Which of the sequences is a geometric sequence?

• 5, 10, 15, 20
• -12, -6, 0, 6
• 4, 20, 100, 500, 
• 1, 2, 3, 5, 8,...

Which of the sequences is a arithmetic sequence?

• 5, 10, 15, 20
• -6, 12, -24, 48,...
• 4, 20, 100, 500, 
• 1, 2, 3, 5, 8,...