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 * Aim: How do we specify the terms of a sequence by relating them to previous terms?**

At the end of the lesson, you will be able to...
 * 1) define recursion
 * 2) write the terms of a sequence given a recursive rule and the first term
 * 3) write a recursive rule for a given sequence

These videos talk about the two ways to find a sequence: recursive or explicit. Explicit is what we have been using: we just substitute a number into an expression and solve for that term. A recursive rule uses the prior value to help you find the next value.

For instance, if I know the first term of a sequence is 5 and the rule is to add 2 to every term, my next term will be 7. The term after that will be 7 + 2 which gives me 9. The following term is 9 + 2 which gives me 11, and so on.

Watch the following videos for examples

[|Video 1]

Video 2 shows recursive

[|Video 2]


 * Classwork:** none


 * Homework:** none - Enjoy!!


 * Journal entry:** When should a recursive rule be used to indicate a sequence rather than an explicit rule in terms of n?