Recursive Formula for Sequences

Which of the following sequences has the recursive rule f_n = f_n-1 + f_n-2

• {8,12,16,20,24, …}

• {-15,-19,-23,-27,-31, …}

• {-3,-12,-48,-192,-768, …}

• {1, 2, 3, 5, 8, …}

Does this recursive routine model growth or decay, and by what percent?
U₁ = 10
U_n+1 = U_n*.75

• Growth, 75%

• Growth, 25%

• Decay, 75%

• Decay, 25%

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

• a_n=a_n-1-7

• a_n=a_n-1-4

• a_n=a_n-1+3

• a_n=a_n-1+4

Write the recursive formula of 13, 9, 5...

• a_n=a_n-1-4

• a_n=a_n-1+3

• a_n=a_n-1-5

• a_n=a_n-1+4

Which of the following equations is recursive?

• f(n) = f(n-1) +4

• f(n) = 2n - 5

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

• a_n = 2(11)^n-1

• a_n = 11x 2

• a_n = 11(2)^n-1

• a_n = 2a_n-1

Given the sequence -5, -15, -25, -35..., which recursive formula describes it?

Given the sequence 11, 15, 19, 23..., which recursive formula describes it?

Given the sequence 30, 40, 50, 60..., which recursive formula describes it?

Recursive formulas are mainly used for providing the ______ and the _____ in an arithmetic sequence.

• first term

  and

  last term

• first term

  and

  common difference

• previous term

  and

  final term

• none of these