Finding Arithmetic Sequences

What is the difference between an arithmetic sequence and a geometric sequence?

• Arithmetic you add to get from one term to the next and geometric you multiply to get from one term to the next

• Arithmetic you multiply to get from one term to the next and geometric you add to get from one term to the next

• There is no difference, you add for both

• There is no difference, you multiply for both

Write the recursive formula for 6, 17, 28, 39, 50....

• a_n=a_n-1+11
  a₁=6

• a_n=a_n-1-4
  a₁=6

• a_n=a_n-1+9
  a₁=6

• a_n=a_n-1+6
  a₁=6

Write a recursive formula for the following sequence: 10, 5, 0, -5,...

• a₁= 10

  a_n= a_n-1 - 5

• a₁= 10

  a_n= a_n-1 + 5

• a₁= 10

  a_n= a_n (5)

• a₁= 10

  a_n= a_n-1 (5)

• 16

• 23

• 4

• 30

Create the explicit rule for the sequence: 2, 8, 14, ...

• 6(n-1)+2

• 6(n-1)-6

• 6(n-1)+4

• 2(n-1)+6

Find the explicit rule: 9, 19, 29, 39, ...

• 10(n-1)-9

• 10(n-1)+9

• 9(n-1)+10

• -9(n-1)+10

Is the sequence 1, 5, 9, 13 an arithmetic sequence? If yes, what is the common difference?

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Given the arithmetic sequence 3, 8, find the next three terms.

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Given the arithmetic sequence -3, -7, find the next three terms.

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Given the arithmetic sequence 6, 12, find the next three terms.

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