Test 10: Sequences

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

• a_n=2+6n
• a_n=-6+6n
• a_n=6n-4
• a_n=4-6n

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

• a_n+1=a_n-7
  a₁=4
• a_n+1=a_n-4
  a₁=4
• a_n+1=a_n+3
  a₁=4
• a_n+1=a_n+4
  a₁=4

What is the explicit rule for the sequence:
11, 22, 44, 88...

• a_n = 2(11)ⁿ
• a_n = 11x2
• a_n = (5.5)(2)ⁿ

What is the recursive rule for the sequence:
2, 6, 18, 54...

• t(1) = 2
  t(n+1)=t(n)+4
• t(1)=2
  t(n+1)=t(n)+3
• t(1)=6
  t(n+1)=3(t(n))
• t(1)=2
  t(n+1)=3(t(n))

Write the recursive form for the sequence:
200, 150, 112.5...

• t(1)=200
  t(n+1)=.75(t(n)) 
• t(200)
  t(n+1)=.75(t(200))
• t(1)=200
  t(n)=75(t(n-1))