David Weber, Talei Kunkel, Harriet Simand and, Justin Medved Solutions for Chapter: Algebraic Expressions and Equations Patterns in Nature, Exercise 7: Practice 1

Will the number $40$ be in this sequence? Explain why or why not?

Draw the next two shapes in the sequence below and explain the pattern in words.

Determine what the ${26}^{\mathrm{th}}$ term in the sequence would be, without drawing it. How do you know?

Will the number $409$ be in this sequence? Explain why or why not.

Write a rule to find the next term of the sequence if you know the one before it.

Draw a pattern for the first three terms in the following sequence. Then draw the next two shapes in each pattern.

$3,7,11$

Draw a pattern for the first three terms in the following sequence. Then draw the next two shapes in each pattern.

$1,9,25$

Maria starts the pattern below. She stays up all night and falls asleep after finishing the ${914}^{\mathrm{th}}$ term. What shape was it?