Warm up fx 3 x 5 gx x

Warm up f(x) = 3 x + 5, g(x) = x – 15, k(x) = -9 1. Find 2 f(x) + g(x). 2. Find g(x) – f(x) – k(x).

Arithmetic Sequence A sequence of terms that have a common difference between them

Geometric Sequence A sequence of terms that have a common ratio between them

Explicit Formula used to find the th n term of a sequence

Explicit Formula for Arithmetic Sequence

Explicit Formula for Geometric Sequence

Arithmetic or Geometric? Example: -22, -15, -8, -1, … Arithmetic d=7

Arithmetic or Geometric? Example: 7, 4, 1, -2, -5 Arithmetic d = -3

Arithmetic or Geometric? Example: 256, 64, 16, 4, … Geometric r = 1/4

Arithmetic or Geometric? Example: Geometric r = 2/3

Find the common difference, the explicit formula, and the tenth term. 3, 9, 15, 21, … d=6 an = 6 n – 3 a 10 = 57

Find the common ratio, the explicit formula, and the seventh term. 3, 1. 5, 0. 75, 0. 375, …

The fifth term is 1, 792. The constant ratio is 4. Write the explicit formula.

Arithmetic & Geometric Sequences Recursive

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

Recursive Formula for Arithmetic Sequence

The first term is 1 for an = an-1 – 2. Find the next term.

The first term is 1 for an = an-1 – 2. Find the third term.

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

Recursive Formula for Geometric Sequence

The first term is 320 for an = an-1 Find the next term.

The first term is 320 for an = an-1 Find the third term.

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

Find the next term x y 1 3 2 13 3 23 4 33 n

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

Find the next term x 1 2 3 4 n y 16 40 100 250

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

Find the next term x 1 2 3 4 n y 2 14 98 686

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

Find the next term x y 1 19 2 13 3 7 4 1 n

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

Write the explicit rule and the recursive rule. a 1 = 15 and d = 5

Write the explicit rule and the recursive rule. a 1 = 4 and r = 0. 2

Practice Worksheet Arithmetic and Geometric Sequences Practice 7 tables

Homework Explicit and Recursive Sequences Practice 12 problems