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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 32 Page 205

Start by writing the sequence formed by the sum of the numbers in each roll. Then, inspect differences between the consecutive terms of the sequence.

Sequence: $2,$ $5,$ $8,$ $11$
Is the Sequence Arithmetic? Yes.
Explanation: See solution.

Practice makes perfect

Let's count the dots on each die and write down the sum of the dots. These numbers will then form our sequence.

Table with the sum of the numbers for each roll

In order to determine if it is an arithmetic sequence, we have to inspect the differences between consecutive rolls.

Table with the sum of the numbers for each roll

Since the differences are all the same and equal to $3,$ the given sequence is arithmetic.

Subchapter links

Communicate Your Answer p.199

Monitoring Progress p.200-203

Exercises p.204-206