Arithmetic/Geometric Recursive Formulas

Is the sequence geometric or arithmetic?
3, 6, 9, 12...

• Arithmetic
• Geometric
• Neither

Tags

CCSS.HSF.BF.A.2

Is the sequence geometric or arithmetic?
6, 18, 54...

• Arithmetic
• Geometric
• Neither

Tags

CCSS.HSF.BF.A.2

Which kind of sequence has a common difference?

• Arithmetic
• Geometric

Tags

CCSS.HSF.BF.A.2

The individual numbers in a sequences are called...

• Common difference
• Successive term
• Term
• Geometric term

Tags

CCSS.HSF.BF.A.2

Which sequence is a geometric sequence with a common ratio of 2?

• 5, 3, 1, -1, ...

• 5, 7, 9, 11, ...

• 5, 10, 20, 40, ...

• 5, 15, 45, 135, ...

Tags

CCSS.HSF.BF.A.2

To find the next term in a geometric sequence…

• add the common difference d

• multiply by the common ratio r multiply by the common ratio r

Tags

CCSS.HSF.BF.A.2

To find the next term in an arithmetic sequence…

• add the common difference d

• multiply by the common ratio r

Tags

CCSS.HSF.BF.A.2

3, 9, 15, 22, ...

Is this sequence arithmetic, geometric, or neither?

• arithmetic (common difference d = 6)

• geometric (common ratio r = 4)

• neither (no common difference OR common ratio) neither (no common difference OR common ratio)

Tags

CCSS.HSF.BF.A.2

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

• f(n)=f(n-1)+11

• f(n)=f(n-1) - 4

• f(n)=f(n-1) +9

• f(n)=f(n-1)+6

Write a recursive rule for the sequence 17, 1, -15, -31 . . .

• f(n) = f(n-1) + 16

  f(1)=17

• f(n) = f(n-1) - 17

  f(1)=17

• f(n) = f(n-1)- 15

  f(1)=17

• f(n) = f(n-1) - 16

  f(1)=17