Module 3 Sec 1-4 by Tyler Yarbrough

Mod 3 Sec 1-4 Overview

yarbrought1186 — 2016-01-04 16:38:19 UTC

3.1- Arithmetic sequences in equations, tables, graphs, and story context

3.2- Geometric sequences in equations, tables, graphs, and story context

3.3- Constant difference and constant ratio

3.4- Arithmetic sequences: increasing and decreasing at a constant rate

yarbrought1186 — 2016-01-04 17:19:26 UTC

Arithmetic Sequence

yarbrought1186 — 2016-01-04 17:21:09 UTC

In mathematics, an arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15 … is an arithmetic progression with common difference of 2. It has a linear graph.

Geometric Sequence

yarbrought1186 — 2016-01-04 17:21:56 UTC

In mathematics, a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. It has an exponential graph.

yarbrought1186 — 2016-01-04 17:23:35 UTC

yarbrought1186 — 2016-01-06 02:47:48 UTC

yarbrought1186 — 2016-01-06 02:53:37 UTC

yarbrought1186 — 2016-01-06 02:59:15 UTC

How do you find the difference between a geometric sequence and a arithmetic sequence?

yarbrought1186 — 2016-01-06 16:44:35 UTC

A geometric sequence has a nonlinear line (exponential), while an arithmetic sequence has a linear line.

Multi-step Problem

jordyn_hartman14 — 2016-01-06 17:13:35 UTC

7-11 has a energy drink vending machine. Every time a person puts a $5 bill into the machine then 2 drinks come out. The machine holds 10 pounds of the bottled energy drinks. Each pound of energy drinks has about 110 bottles.

1) Represent the number of drinks in the machine for any given number of customers?

2) About how many people will buy drinks before the machine is out?

3) Show the amount of money in the machine for any number of customers?

braidick68801 — 2016-01-06 17:23:21 UTC

Video Review:

yarbrought1186 — 2016-01-08 02:59:40 UTC

https://www.youtube.com/watch?v=iLZGZGGzF6I

KAHOOT

2016-01-08 16:39:10 UTC

https://play.kahoot.it/#/lobby?quizId=7af3fe30-7dae-47b8-840b-59ebbcfd614d

Sequence Definition

jordyn_hartman4 — 2016-01-10 23:34:03 UTC

An ordered collection of objects in which repetitions are allowed.

Answer

jordyn_hartman4 — 2016-01-10 23:43:31 UTC

1) f(n) = 2n

2) 10 x 110 = 1,100 (# pounds x # bottles in 1 pound)

1,100/2 = 550 (total # bottles in machine divided by 2 drinks coming out per customer)

About 550 people can buy energy drinks before the machine is empty.

3) Let m = amount of money in machine

Let n = number of customers who've bought energy drinks

5n = m

jordyn_hartman4 — 2016-01-11 00:32:57 UTC

https://www.youtube.com/watch?v=JnCYomYzJSw

jordyn_hartman4 — 2016-01-11 00:34:07 UTC

https://www.youtube.com/watch?v=NVorMKjUmxM