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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

5. Rational Exponents and Radicals

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Exercise 77 Page 452

Can you find a relation between the position and the value of each term?

Pattern: Square numbers.
Next three numbers: 16, 25, and 36

Practice makes perfect

Consider the given sequence. 1 → 4 → 9 Note that the value of each term is the square of its position in the sequence.

Position	1st	2nd	3rd
Value	1= 1^2	4= 2^2	9= 3^2

To find the next three numbers, we will extend this pattern three times. This means that we will find the square of 4, 5, and 6.

Position	4th	5th	6th
Value	4^2= 16	5^2= 25	6^2= 36

With the obtained values, we can now complete the given sequence. 1 → 4 → 9 → 16 → 25 → 36

Subchapter links

Lesson Check p.450

Practice and Problem-Solving Exercises p.450-452

Standardized Test Prep p.452