Recursive

Problem with calculating recursive equation

Problem with calculating recursive equation
  1. Is a recursive formula a useful way to find the value of an arithmetic sequence?
  2. How do you solve recursive probability problems?
  3. What is an example of a recursive equation?

Is a recursive formula a useful way to find the value of an arithmetic sequence?

A recursive formula allows us to find any term of an arithmetic sequence using a function of the preceding term. Each term is the sum of the previous term and the common difference.

How do you solve recursive probability problems?

Find pi, the probability that A wins the game given that he has initially i dollars. pi = P(A wins the game|A wins the first round)P(A wins the first round)+ P(A wins the game|A loses the first round)P(A loses the first round) = pi+1p + pi−1(1 − p). Thus we obtain the recursive equation pi = pi+1p + pi−1(1 − p).

What is an example of a recursive equation?

an=2an−1+3 is a recursive formula because each term, an, refers back to the previous term, an−1. This equation is telling us that whatever term we want to find is equal to 2 times the previous term, plus 3. The first three terms of this sequence are: 4,11,25.

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