To find: Expression describe the number of squares in nthfigure.
Expression is
Given:
Formula used:
If a sequence in arithmetic progression, nth term is formulated as follow:
Where,
Calculation:
The dark shaded square is constant in every.
So, only light shaded are increasing in a sequence.
From the fig, the number of light shaded square is increasing following sequence:
Generate series from the given figure:
Above series is arithmatic sequence, hence formula
Here,
Since
Hence, expression describe the number of light shaded square in nthfigure.
Hence expression is
And adding one dark shaded square to each and in nth figure.
The final required expression is
Conclusion:
Hence expression is
Chapter 1 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education