. Suppose you are able to build a rectangle with whole number dimensions whose length is...

 

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. Suppose you are able to build a rectangle with whole number dimensions whose length is exactly one unit more than its width using N whole and undivided unit squares. Then the number N is called a rectangular (or Pronic) number. For example, the number 2 is a rectangular number because it can be used to describe a rectangle with 2 unit squares arranged horizontally (a 2 x 1 rectangle, the length is 2 and the width is 1). Similarly, the number 6 is a rectangular number since can be used to describe a rectangle with 2 rows of 3 unit squares (a 3 x 2 rectangle, the length is 3 and the width is 2). Practice this concept, notice a pattern, then answer the following questions. (a) (6 points) Write down the first 8 rectangular numbers greater than 1. Show your work to explain your reasoning. (b) (4 point) Provide a formula for the nth rectangular number greater than 1. Justify your answer. . Suppose you are able to build a rectangle with whole number dimensions whose length is exactly one unit more than its width using N whole and undivided unit squares. Then the number N is called a rectangular (or Pronic) number. For example, the number 2 is a rectangular number because it can be used to describe a rectangle with 2 unit squares arranged horizontally (a 2 x 1 rectangle, the length is 2 and the width is 1). Similarly, the number 6 is a rectangular number since can be used to describe a rectangle with 2 rows of 3 unit squares (a 3 x 2 rectangle, the length is 3 and the width is 2). Practice this concept, notice a pattern, then answer the following questions. (a) (6 points) Write down the first 8 rectangular numbers greater than 1. Show your work to explain your reasoning. (b) (4 point) Provide a formula for the nth rectangular number greater than 1. Justify your answer.