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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

6. Arithemetic Sequences

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Exercise 11 Page 203

Practice makes perfect

a Let's make a table presenting charges for the first couple games.

Games	Charge
0	5
1	7
2	9
3	11
4	13

The first term is 7 and the common difference is 2. We can use the Rule of Arithmetic Sequence.

f(n)=a_1+(n-1)d

a_1= 7, d= 2

f(n)= 7+(n-1) 2

Distribute 2

f(n)=7+2n-2

Subtract term

f(n)=2n+5

b To graph the function we will use values from the table.

c We can use the function to find the number of games you can play for $29.

f(n)=2n+5

f(n)= 29

29=2n+5

LHS-5=RHS-5

24=2n

.LHS /2.=.RHS /2.

n=12

This means that you can play 12 games.

Subchapter links

Communicate Your Answer p.199

Monitoring Progress p.200-203

Exercises p.204-206