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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 39 Page 205

The common difference is the number that is added to get from one term to the next.

Error: The minus sign was not included in the conclusion.
Correct Solution: d=- 1

Practice makes perfect

The common difference is the difference between each pair of consecutive terms of the arithmetic sequence.

Consecutive Terms		Difference	Common Difference
a_1=2	a_2=1	a_2-a_1=1-2	- 1
a_2=1	a_3=0	a_3-a_2=0-1	- 1
a_3=0	a_4=- 1	a_4-a_3=- 1-0	- 1

The common difference is the number we have to add to one term to find the next. In our case it is - 1, and it has been correctly identified underneath the sequence. The number given in the conclusion is incorrect.

Subchapter links

Communicate Your Answer p.199

Monitoring Progress p.200-203

Exercises p.204-206