Patterns to Algebra
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Patterns to Algebra
🔢 Part 1: Identifying Pattern Rules
a) What is the constant difference? ________
b) What would the next two terms be? ________ and ________
📝 Part 2: Writing Algebraic Expressions
a) The constant difference is: ________
b) The algebraic expression is: ________________
c) Check: When n = 3, the term should be ________ (show your working)
My pattern: _______, _______, _______, _______, _______
Constant difference: ________
Algebraic expression: ________________
🧮 Part 3: Using Expressions to Find Terms
a) The 4th term: ________________
b) The 10th term: ________________
c) The 15th term: ________________
a) Check if this is correct by substituting n = 6:
b) Is the answer correct?
a) Write an expression for the total cost: ________________
b) How much would 5 tickets cost? ________________
c) How much would 12 tickets cost? ________________
🎯 Part 4: Problem Solving Challenge
a) Complete the table:
| Week (n) | Total Money ($) |
|---|---|
| 1 | ________ |
| 2 | ________ |
| 3 | ________ |
b) Write an algebraic expression: ________________
c) How much money will Sarah have after 10 weeks? ________________
Algebraic expression for this pattern: ________________
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