Drill #54 1. Find the next 4 terms in the sequence: -5, -9, -13, -17, … 2. Write an equation for the nth term in the series above. 3.Find the 100 th term.

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Presentation transcript:

Drill #54 1. Find the next 4 terms in the sequence: -5, -9, -13, -17, … 2. Write an equation for the nth term in the series above. 3.Find the 100 th term in the sequence. Bonus: If the 1 st term in a sequence is 15 and the 21 st term is 75, find the 10 th term.

Drill #55 1. Find the next 4 terms in the sequence: 6, 4.5, 3, 1.5, … 2. Write an equation for the nth term in the series above. 3.Find the 100 th term in the sequence. Bonus: If the 1 st term in a sequence is -3 and the 31 st term is -93, find the 15 th term.

3-5 Proportional and Nonproportional Relationships* Objective: Write an equation for a proportional relationship, and to write an equation for a nonproprtional relationship. Open Books to page 172

(1.) Inductive Reasoning Definition: Using a pattern to find a general relationship. You use inductive reasoning to find sequential terms given a pattern… 3-5 Study Guide

(2.) Proportional Relationship** Definition: any equation that written in the form y = kx. The graph of a proportional relationship will pass through the origin.

Real World Example* Example 1: Proportional Relationships Ex 1A, 1B: Check your progress

(3.) Nonproportional Relationships** Definition: A relationship in which a constant must be added or subtracted from the variable expression. Formula: y = kx + c The graphs of nonproportional relationships do not pass through the origin.

Real World Example* Example 2: Nonproportional Relationships Ex 2: Check your progress y = x 1 + (x – 1)d How can we write this equation using x 0 ?

Steps For Writing Equations* For Proportional Relations (passes through the origin): 1.Make a table of values 2.Find the common difference (d) 3.Equation is y = kx For Nonproportional relationships 1.Make a table of values 2.Find the common difference (d) 3.Equation is y = kx + c

Writing Equations: Examples Proportional Relationships* Page 174 #1 Nonproportional Relationships* Page 174 #2

Classwork* Page 174 #14 -17

Classwork 3-5 Skills Practice #9 - 14