Recursive Arithmetic and Geometric Sequences

Name the Sequence:

300, 150, 75, 37.5.....

• A. Arithmetic

• B. Geometric

• C. Recursive

• D. Explicit

What is the common ratio for the sequence:
28, -14, 7, -3.5...

• 1/2 (or 0.5)

• - 1/2 (or -0.5)

• -14

• -7

For each sequence, state if it is arithmetic, geometric, or neither.
−34, −26, −18, −10, −2, ... 

• Arithmetic

• Geometric

• Neither

Find the common ratio of the geometric sequence:      -2, -4, -8, -16, . . . 

• -2

• 2

• 4

• -4

Given      t(n+1) = t(n) - 3 
and          t(1) = 6,
is this sequence also arithmetic or geometric or neither?

• arithmetic

• geometric

• neither

• Pick this one...if you like getting answers wrong

Given          t(n+1) = t(n) + 3
and             t(1) = 10, 
is this sequence also arithmetic or  geometric or neither?

• arithmetic

• geometric

• neither

• Don't pick this one!

Write the recursive formula for the geometric sequence.

What is the common ratio for the sequence:
3, 15, 75...

• 12

• 1/5

• 5

• 10

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

• a_n = a_n-1 + 16
  a₁=17

• a_n = a_n-1 - 17
  a₁=17

• a_n = a_n-1 - 15
  a₁=17

• a_n = a_n-1 - 16
  a₁=17

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+16
  a₁=6