Number patterns

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Introduction to Number Patterns:
How to describe and predict the pattern in a number sequence

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Next Number in the Pattern
Write the next two numbers in the pattern. Then, describe the pattern with an expression.
1. 1, 4, 7, 10, ___, ___
2. 3, 6, 12, 24, ___, ___
3. 30, 25, 20, 15, ___, ___
4. 128, 64, 32, 16, ___, ___
Fill in the Blanks for the Number Pattern
Fill in the blanks for the pattern. Then, describe the pattern with an expression.
1. 60, 50, ___, 30, 20, ___
2. ___, 11, 17, 23, ___, 35
3. 1, $\frac{1}{3}$ , ___, $\frac{1}{27}$ , ___
4. 2, 10, ___, 250, 1250, _____
Special Number Patterns
Write the next 4 numbers in the special pattern below. Look at how much each term is increased by to find the rule.
1. 0, 1, 1, 2, 3, 5, 8, 13, 21, __, __, __, __
2. 1, 1, 2, 4, 7, __, __, __, __
Number Patterns - Word Problem
Natalie is doing swimming training so that she can hold her breath underwater longer. On the first day, she is only able to hold her breath for 30 seconds. On the second day, she can do it for 45 seconds. On the third day, she can do it for 60 seconds.
1. If this pattern in her progress continues, how many seconds will she be able to hold her breath for by the 7^th day?
2. Describe the pattern with a sentence expression