## Related questions with answers

Question

$\begin{array} { l r } \text { White } & \text { Black } & \text { Total } \\ & + & ( n + 1 ) ^ { 2 } \end{array}$

Solution

VerifiedStep 1

1 of 2The answer was already given in the previous page:

$2n+(n^2+1) =n^2+1$

Using $2n-1$, the number of white dots correspond to the sequence:

$2,4,6,8,\dots$

Using $n^2+1$, the number of black dots correspond to the sequence:

$2,5,10,17,\dots$

which corresponds to sequence $\text{\textcolor{#c34632}{A.}}$

To show that the polynomial addition is true, we notice that $n^2+2n+1$ is a perfect square trinomial: $a^2+2ab+b^2=(a+b)^2$

$2n+n^2+1= n^2+2n+1=\color{#c34632} (n+1)^2\color{white}\tag{1}$

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Recommended textbook solutions

#### enVision Algebra 1

1st Edition•ISBN: 9780328931576 (2 more)Al Cuoco, Christine D. Thomas, Danielle Kennedy, Eric Milou, Rose Mary Zbiek3,246 solutions

#### Big Ideas Math Algebra 1: A Common Core Curriculum

1st Edition•ISBN: 9781608408382 (2 more)Boswell, Larson4,740 solutions

#### Big Ideas Math Integrated Mathematics II

1st Edition•ISBN: 9781680330687Boswell, Larson4,539 solutions

## More related questions

1/4

1/7