Common Core: High School - Algebra : Seeing Structure in Expressions

Study concepts, example questions & explanations for Common Core: High School - Algebra

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All Common Core: High School - Algebra Resources

8 Diagnostic Tests 97 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #71 : High School: Algebra

1, 9, 81, 729, 6561...

 

Is the sequence above arithmetic, geometric, or neither?

Possible Answers:

Neither

Geometric

Arithmetic

Correct answer:

Geometric

Explanation:

The series is geometric, which means that to get from one value to the next you always multiply by the same value. Here to get from one value to the next, you multiply by 9 each time:

 

1 x 9 = 9

9 x 9 = 81

81 x 9 = 729

729 x 9 = 6561

Example Question #72 : High School: Algebra

What type of sequence describes the following set of numbers?

 

3, 15, 75, 375, 1875

Possible Answers:

Unknown Series

Geometric Series

Arithmetic Series

Correct answer:

Geometric Series

Explanation:

This is a geometric series. The same value, 5, is multiplied by each value to get to the next:

3 x 5 = 15

15 x 5 = 75

75 x 5 = 375

375 x 5 = 1875

 

When each term in a series is equal to the previous term multiplied by the same factor - in this case 5 - that's a geometric series.

All Common Core: High School - Algebra Resources

8 Diagnostic Tests 97 Practice Tests Question of the Day Flashcards Learn by Concept
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