Infinite Sequences (BC Calculus)

Given the function, if the degree of h is larger than the degree of g , what is the limit of f as x approaches infinity?

• 0

• Fraction made by leading coefficients

• ±∞

• Limit does not exist

What is an infinite sequence?

• a sequence that has a set end element
• a sequence that can have infinitely many terms
• a sequence that has values that add up to a value greater than infinity
• a sequence whose terms approach zero

• 4
• 0
• 1/2500
• Does not exist

Given the sequence:

25, 21, 17, 13,...

What is the explicit formula that models the sequence?

• a_n+1 = a_n - 4

• a_n = -4n + 25

• a_n = -4n + 29

• a_n+1 = a_n + 25

What is the explicit formula for the sequence:

2, 8, 14, ...

• a_n+1=6+a_n

• a_n+1=-6+a_n

• a_n=6n-4

• a_n=4-6n

Is the sequence an Infinite Sequence or a Partial (Finite) Sequence?

12, 10, 8, 6, 4

• Infinite

• Partial

Is the sequence an Infinite sequence or Partial (Finite) sequence?

1, 1, 2, 3, 5, 8, ...

• Infinite

• Partial (Finite)

What is the 3rd term in the sequence given by the rule below?

• 6
• 3
• 16
• 18

What are the next two terms of the sequence given by the recursive formula below?

• 5, 10

• 11, 23

• 5, 11

• 11, 22

What is the recursive formula for the sequence?

3, 12, 48, 192, 768, ...

• a₁ = 3, a_n = 4n

• a₁ = 3, a_n = 3(a_n-1)

• a₁ = 1, a_n = 4(a_n-1)

• a₁ = 3, a_n = 4(a_n-1)