Author: Amanda Brown

Recursive Rule / (Reoccurring = happens over and over) / a1 = 3 an = an-1—7 / Find the first 5 terms. / Step 1: Identify ‘n’ (the term you want) / Step 2: Replace ALL ‘n’s / Step 3: Substitute any terms you know already / 2nd term: / n = 2 / a2 = a2-1 — 7 / a2 = a1 — 7 (Do you know what a1 is already?) / a2 = ___ - 7 / a2 = ______ / 3rd term: 4th term: / n = / a___ = a___- 1 — 7 / a___ = a___ — 7 / a___ = ____ — 7 / a___ = ____ / 5th term / Write the first 5 terms as a sequence:	Recursive Rule (faster way) / The recursive rule can be time consuming UNLESS you see the secret! / Find the first 5 terms using the following recursive rule. / a1 = -5 an = an-1 + 3 / Step 1: Calculate the 2nd term / Step 2: Calculate the 3rd term using the pattern / 2nd term: / n = 2 / a2 = a2-1 — 7 / a2 = a1 — 7 (Do you know what a1 is already?) / a2 = ___ - 7 / a2 = ______ / What happened from the first term and the 2nd term? / What would the 3rd term be using this pattern? / What would the 4th term be using this pattern? / What would the 5th term be using this pattern? / Write the first 5 terms as a sequence: