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

Important Questions on Algebraic Expressions and Equations Patterns in Nature

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

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

3,7,11

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

1,9,25

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

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Translate the following phrase into a mathematical expression. Use whatever symbol or letter you like for the original number.

3 times a number.

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Translate the following phrase into a mathematical expression. Use whatever symbol or letter you like for the original number.

a number increased by 7.

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Translate the following phrase into a mathematical expression. Use whatever symbol or letter you like for the original number.

a number multiplied by 5.

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Translate the following phrase into a mathematical expression. Use whatever symbol or letter you like for the original number.

12 more than a number.