recursive rules

We learned that a recursive rule is a rule that continually takes a previous number and changes it to get to a next number. For example, our counting numbers is a recursive rule because every number is the previous number plus 1.

1. What is an example of a recursive rule?
2. What is the recursive rule for an arithmetic sequence?
3. What are recursive patterns?
4. What is a non recursive formula?
5. How do you solve recursive problems?
6. What is the definition of recursive?
7. What is recursive algebra?
8. How do you graph a recursive sequence?
9. How do you find the nth term of a recursive sequence?

What is an example of a recursive rule?

A recursive formula designates the starting term, a₁, and the n^th term of the sequence, a_n , as an expression containing the previous term (the term before it), a_n-1. ... This example is an arithmetic sequence (the same number, 5, is added to each term to get to the next term).

What is the recursive rule for an arithmetic sequence?

A recursive sequence is a sequence in which terms are defined using one or more previous terms which are given. If you know the nth term of an arithmetic sequence and you know the common difference , d , you can find the (n+1)th term using the recursive formula an+1=an+d . Example 1: an+1=an⋅r . ...

What are recursive patterns?

A recursive pattern rule is a pattern rule that tells you the start number of a pattern and how the pattern continues. For example, a recursive rule for the pattern 5, 8, 11, 14, … is start with 5 and add 3. ... For example, an explicit pattern rule for 5, 8, 11, 14, … uses the first term (5) and the common difference (3).

What is a non recursive formula?

A non-recursive formula is a formula for a sequence that does not itself depend on any other terms in the sequence. In other words, the only variable you will need to plug in is the index of the sequence. For instance, S_n = n²

How do you solve recursive problems?

1. Step 1) Know what your function should do. ...
2. Step 2) Pick a subproblem and assume your function already works on it. ...
3. Step 3) Take the answer to your subproblem, and use it to solve for the original problem. ...
4. Step 4) You have already solved 99% of the problem.

What is the definition of recursive?

1 : of, relating to, or involving recursion a recursive function in a computer program. 2 : of, relating to, or constituting a procedure that can repeat itself indefinitely a recursive rule in a grammar. Other Words from recursive More Example Sentences Learn More about recursive.

What is recursive algebra?

A recursive formula always uses the preceding term to define the next term of the sequence. Sequences can have the same formula but because they start with a different number, they are different patterns.

How do you graph a recursive sequence?

Graphing a recursive sequence

1. Press [Y=] to access the Y= editor.
2. Enter a value for nMin. nMin is the value where n starts counting. ...
3. Enter the recursive formula for u(n). Don't forget to press. ...
4. Enter u(nMin). Enter the initial term as shown in the second screen.
5. Press [GRAPH.

How do you find the nth term of a recursive sequence?

Explicit: nth term=a(r)^(n-1). Recursive: nth term=(n-1) term * r.