Acc. Coordinate Algebra / Geometry A Day 36

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Presentation transcript:

Acc. Coordinate Algebra / Geometry A Day 36 Learning Target: Students can use the recursive formula to find the next term of a sequence.

Arithmetic & Geometric Sequences Recursive Formula

Recursive Formula a formula used to find the next term of a sequence when the previous term is known

Recursive Formula for Arithmetic Sequence

Ex: The first term is 1 for an = an-1 – 2. Find the next two terms.

Recursive Formula for Geometric Sequence

Ex: The first term is 320 for an = -1/4 an-1. Find the next two terms.

Find the next term and write the recursive rule. y 1 3 2 13 23 4 33 n

Find the next term and write the recursive rule. y 1 16 2 40 3 100 4 250 n

Find the next term and write the recursive rule. y 1 2 14 3 98 4 686 n

Find the next term and write the recursive rule. y 1 19 2 13 3 7 4 n

Write the explicit rule and the recursive rule. a1 = 15 and d = 5

Write the explicit rule and the recursive rule. a1 = 4 and r = 0.2

Arithmetic and Geometric Sequences Practice 7 tables Practice Worksheet Arithmetic and Geometric Sequences Practice 7 tables

Explicit and Recursive Sequences Practice 12 problems Homework Explicit and Recursive Sequences Practice 12 problems