Warm Up 1. Find 3f(x) + 2g(x) 2. Find g(x) – f(x) 3. Find g(-2)

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Presentation transcript:

Warm Up 1. Find 3f(x) + 2g(x) 2. Find g(x) – f(x) 3. Find g(-2)

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 Formula used to find the nth term of a sequence There are two types.

Explicit Formula for Arithmetic 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 = 6n – 3 a10 = 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 The fifth term is 1,792. The constant ratio is 4. Write the explicit formula.