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Big Ideas Math: Modeling Real Life, Grade 6

BI

Big Ideas Math: Modeling Real Life, Grade 6 View details

5. Multiplying Decimals

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Exercise 71 Page 80

Notice that each term in the sequence is the previous term multiplied by 1.5.

Next Three Terms: a_5=25.3125 a_6=37.96875, and a_7=56.953125
Describe the Pattern: See solution.

Practice makes perfect

We want to find a formula for the given sequence. 5, 7.5 11.25, 16.875, ...

Notice that each term in the sequence is the previous term multiplied by 1.5.

a_1	a_2	a_3	a_4	...	a_n
5	7.5	11.25	16.875	...	—
—	5* 1.5	7.5* 1.5	11.25* 1.5	...	a_(n-1) * 1.5

We can use the fourth term a_4= 16.875 to find the next three terms. Let's do it!

a_n=a_(n-1)* 1.5
a_5= 16.875* 1.5	a_6= 25.3125* 1.5	a_7= 37.968756* 1.5
a_5= 25.3125	a_6= 37.968756	a_7=56.953125

Subchapter links

Try It p.74-76

Self-Assessment for Concepts & Skills p.76

Self-Assessment for Problem Solving p.77

Review & Refresh p.78

Concepts, Skills, & Problem Solving p.78-80