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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 + 2 n - 2

Subtract term

f (n) = 2 n + 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) = 2 n + 5

$f (n) = 29$

29 = 2 n + 5

$LHS - 5 = RHS - 5$

24 = 2 n

$LHS / 2 = RHS / 2$

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