Use a rule to complete a number pattern

Learning Objectives Identify the mathematical rule (addition, subtraction, multiplication, or division) in a given number pattern. Determine the constant value used in the rule of a number pattern. Apply an identified rule to extend a number pattern by finding the next terms. Complete missing numbers within a number pattern using its established rule. Describe number patterns using precise mathematical language. Create simple number patterns when given a starting number and a rule. Ever noticed how some things happen in a predictable order, like the days of the week or the way numbers count up? 🗓️ What if you could predict the next number in a sequence just by knowing a secret rule? In this lesson, you'll become a number detective, learning how to uncover the hidden ru...

TermDefinitionExample Number PatternA sequence of numbers that follows a specific mathematical rule.2, 4, 6, 8, ... is a number pattern. RuleThe mathematical operation (addition, subtraction, multiplication, or division) and the constant number that tells you how to get from one term to the next in a pattern.In the pattern 2, 4, 6, 8, the rule is 'add 2'. TermEach individual number in a number pattern.In the pattern 2, 4, 6, 8, the number 2 is the first term, 4 is the second term, and so on. SequenceAn ordered list of numbers, often forming a pattern.The sequence 10, 8, 6, 4 is a descending number pattern. Ascending PatternA number pattern where the terms generally increase in value. This usually involves addition or multiplication.5, 10, 15, 20 (rule: add 5) Descending PatternA...

Addition Pattern Rule $T_n = T_{n-1} + d$ To find the next term ($T_n$) in an addition pattern, add a constant difference ($d$) to the previous term ($T_{n-1}$). For example, if the rule is 'add 3', then $T_n = T_{n-1} + 3$. Subtraction Pattern Rule $T_n = T_{n-1} - d$ To find the next term ($T_n$) in a subtraction pattern, subtract a constant difference ($d$) from the previous term ($T_{n-1}$). For example, if the rule is 'subtract 5', then $T_n = T_{n-1} - 5$. Multiplication Pattern Rule $T_n = T_{n-1} \times r$ To find the next term ($T_n$) in a multiplication pattern, multiply the previous term ($T_{n-1}$) by a constant ratio ($r$). For example, if the rule is 'multiply by 2', then $T_n = T_{n-1} \times 2$. Division Pattern Rule...