Generating Numerical Patterns

What rule applies to number of packages?

• X (multiply) by 2

• X (multiply) by 8

• add 1

• add 8

What rule applies to number of crayons?

• X (multiply) by 2

• X (multiply) by 8

• add 1

• add 8

Michael and John are creating patterns.

·       Michael uses the rule “multiply by 2” and starts at 5

·       John uses the rule “add 8” and starts at 16

What is the first number in Michael’s pattern that also appears in John’s pattern?

Kaiya and Deangelo each create a number pattern. 

·       Kaiya’s pattern uses the rule “add 2” and has a first term of 6

·       Deangelo’s pattern uses the rule “add 4” and has a first term of 5.

Complete the statement that describers the relationship between the two number patterns. 

The patterns _____________terms in common

• have

• do not have

Kaiya and Deangelo each create a number pattern.  Kaiya’s pattern uses the rule “add 2” and has a first term of 6 Deangelo’s pattern uses the rule “add 4” and has a first term of 5. Complete the statement that describers the relationship between the two number patterns.  Kaiya's pattern has _____________numbers

• only odd

• only even

• both odd and even

What is the value of the first term of the sequence a_n = n - 1?

• -1

• 1

• 0

• 2

What are the first three terms of the sequence with the nth term a_n = n² + 2?

• 3, 6, 15

• 3, 6, 10

• 3, 6, 8

• 3, 6, 11

Which of the following is the next three terms in the sequence 2, 5, 10, 17, 26, ...?

• 30, 42, 52

• 37, 41, 52

• 34, 42, 52

• 37, 50, 65

• 1, 5, 31, 47

• 1, 9, 25, 49

• 1, 5, 31, 49

• 1, 9, 26, 49

Which of the following is the explicit formula of the sequence 27, 21, 15, 9, ...