# Discrete Mathmatics IP a couple of

﻿Steven Knox

Ip 2 –Discrete Mathematics

Part one particular

farreneheit Ordered Pairs

D=Domain Q=Range

Is this romance a Fuction?

This is an event because is principally a one to 1 relationship between football crew and 1 / 4 Back. Nevertheless it wouldn't become a function if the Quarter Back were the Domain. It exist like a function as a result of simple relationship 1 to 1 (x, y) or ( 1, a ).

Reversing the fuction

Is Relationship an event

This plan does not be eligible as a function because Arrow's coming from Later on Namath will be more than 1 pick out with the range. Givin that a function from N (x) By to Con has to be a 1 to 1 marriage this function simply will not not Define.

Part a couple of Sequences

Mathematical sequences can be used to unit real life applications. Suppose you need to construct a movie theater in your area. The number of chairs in every single row may be modeled by the formula C_n = sixteen + 4n, when n refers to the nth line, and you will need 50 lines of seats. Write down thier sequence for the number of car seats for the first five rows C_n= 16+4n Formulia

16+4(1)=N 16+4=20

16+4(2)=N 16+8=24

16+4(3)=N 16+12=28

16+4(4)=N 16+16=32

16+4(5)=N 16+20=36

1st row = 20

2nd line =24

3rd row=28

next row=32

5th row=36

Quantity of Seats to get the first 5 rows 140

(b) � How many seats will be in the last line? C_n= 16+4n N=16+4(n)

N=16+4(50)

N=16+200

N=216

Last Row has 216 seats

(c) � What will be the total volume of seats in the theater? N=16+4(6)=40 N=16+4(8)=48

N=16+4(9)=52

N=16+4(10)=56

N=16+4(11)=60

N=16+4(12)=64

N=16+4(13)=68

N=16+4(14)=72

N=16+4(15)=76

N=16+4(20)=96

N=16+4(25) =116

N=16+4(30)=136

N=16+4(40)=176

N=16+4(45)=196

N=16+4(47)=204

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