help I don't understand the recursive formula

Which recursive formula?

For what they are and how to use them, see
http://www.mathwords.com/r/recursive_formula.htm

uo=100

un=un-1(1+.03/12)+100
the senerio is save 100 a month for 30 years interest rate 3% compounded monthly the teacher said the answer is 23,796 I can't get this to work

Sure! I can help you understand the recursive formula.

A recursive formula is a way to define a sequence by relating each term to previous terms in the sequence. It is a formula that expresses the nth term in terms of one or more previous terms.

Here's an example to illustrate how a recursive formula works:

Let's say we have a sequence of numbers: 1, 3, 6, 10, 15, ...

To find the recursive formula for this sequence, we need to look for a pattern that relates each term to the previous terms.

In this case, we can observe that each term is the sum of the previous term and the position of the term in the sequence.

For example, the second term (3) is obtained by adding the first term (1) and the position of the term (2). Similarly, the third term (6) is obtained by adding the previous term (3) and the position of the term (3).

Using this pattern, we can write the recursive formula for this sequence as follows:

a(n) = a(n-1) + n

In this formula, a(n) represents the nth term in the sequence, a(n-1) represents the (n-1)th term in the sequence, and n represents the position of the term.

To find any term in the sequence using this recursive formula, you would need to know the previous term and the position of the term.

I hope this explanation helps you understand the concept of a recursive formula! Let me know if you have any more questions.