Arithmetic Sequences Day 2

Is following sequence arithmetic?If yes, find the common difference and next three terms. 8, 10, 13, 17, ...

• d = 2

  Next: 18, 20, 22
  

• d = 3

  Next: 22, 25, 28
  

• d = 2

  Next: 16, 18, 20
  

• Not arithmetic

Tags

CCSS.HSF.BF.A.2

Is following sequence arithmetic?If yes, find the common difference and next three terms.-10, -1, 8, 17, ... 

• d = 9

  
  

  46, 55, 64

• d = 9

  
  

  37, 46, 55
  

• d = 9

  
  

  26, 35, 44
  

• d = 9

  
  

  28, 37, 46
  

Tags

CCSS.HSF.BF.A.2

Is following sequence arithmetic?If yes, find the common difference and next three terms. -12, -2, 8, 18, ...

• d = 10

  
  

  Next: 28, 38, 48

• d = -8

  
  

  Next: -44, -52, -60
  

• d = 8

  
  

  Next: 20, 28, 36
  

• Not arithmetic

Find the common difference then write the explicit formula of the following sequence:-34, -30, -26, -22, ...

• d = 4

  
  

  a_n = -36 + 4n
  

• d = 4

  
  

  a_n = -38 + 4n
  

• d = -4

  
  

  a_n = -28 - 4n
  

• d = 169

  
  

  a_n = -39 + 4n
  

Write the explicit formula for the following arithmetic sequence:-7, 2, 11, 20, ...

• a_n = 1 + 8n
• a_n = -15 + 8n
• a_n = -7 + 8n
• a_n = -16 + 9n

Write the explicit formula for the following sequence:33, 133, 233, 333, ...

• a_n = -67 + 100n
• a_n = 31 - 100n
• a_n  = 33 - 100n
• a_n = 133 -100n

Write the explicit formula of the following, then find the 52^nd term. 17, 23, 29, 35, ...

• a_n = 23 - 7n

  
  

  a₅₂= -341
  

• a_n = 22 - 6n

  
  

  a₅₂ = -290
  

• a_n = 11 + 6n

  
  

  a₅₂ = 323

• a_n = 23 - 6n

  
  

  a₅₂ = -289
  

Write the explicit formula then find the 52^nd term: 22, -8, -38, -68,...

• a_n = 54 - 30n

  
  

  a₅₂ = -1506
  

• a_n = 57 - 31n

  
  

  a₅₂ = -1555
  

• a_n= 56 -30n

  
  

  a₅₂ = -1504
  

• a_n = 52 - 30n

  
  

  a₅₂ = -1508

What conditions must apply in order to have an arithmetic sequence?

• There has to be 4 or more numbers
• Terms have a common difference between them
• There is not a pattern
• Order does not matter

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

To find the arithmetic mean, I must:

• Add up all the terms
• Add the terms then divide by the number of terms
• Add up all the terms and divide by the first number
• You can't find the arithmetic mean