Recursive Formulas of Arithmetic and Geometric Sequences

Identify the common difference.
97, 86, 75, 64, ...

• 8
• 11
• -11
• -8

Create the formula for the sequence:
2, 8, 14, ...

• f(n)=f(n-1)+1 and f(1)=8
• f(n)=f(n-1)+6 and f(1)=8
• f(n)=f(n-1)+6 and f(1)=2
• f(n)=f(n-1)+6

Find the 10th term in the arithmetic sequence: -10, -14, -18, -22, ...

• -34
• 46
• -46
• -42

Find f(7) in the arithmetic sequence: 15, 30, 45, 60, ...

• 105
• 90
• 15
• 100

Given the recursive formula, find the first four terms:
F(n) = f(n-1) - 5
f(1) = 16

• 16, 21, 26, 31
• 5, 11, 27, 43
• 16, 80, 500, 200
• 16, 11, 6, 1

Given the recursive formula, find the first four terms:
f(n)= f(n-1)+3
f(1)= 45

• 45, 48, 51, 54
• -45, -135, -405, -1215
• 45, 135, 405, 1215
• 45, 42, 39, 36

What is the explicit formula that represents this sequence:
2, 8, 14, ...

• f(n)=f(n-1)+6
• f(n)=f(n-1)+6 and f(1)=2
• f(n)=f(n-1)-6 and f(1)=8
• _{f(n)=f(n-1)-6 and f(1)=2}
  

Given the recursive formula 
F(1)=5 and
 f(n)=f(n-1)+10.
 Find the the 5 term.

• 145
• 144
• 142
• 45

What is the next term in the series? 15, 35, 55...

• 55
• 15
• 32
• 75

Write the recursive formula for 4, 8, 12....

• f(n)=f(n-1)-7 and f(1)=4
• f(n)=f(n-1)-4 and f(1)=4
• f(n)=f(n-1)+3 and f(1)=4
• f(n)=f(n-1)+4 and f(1)=4