Flashcards on Understanding Numeric and Geometric Patterns
Understanding Numeric and Geometric Patterns: A Full Guide
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Numeric and geometric patterns
9 cards
Card 1
Question: What is a numeric pattern?
Answer: A list of numbers that follow a certain sequence or rule (e.g. 1; 4; 7; 10 ...).
Card 2
Question: What does 'constant difference' mean in a numeric pattern?
Answer: The amount added or subtracted stays the same for each step in the sequence (e.g. add 3 each time).
Card 3
Question: Give an example that illustrates a constant difference of +5.
Answer: 4, 9, 14, 19, 24 (each term increases by +5).
Card 4
Question: What is a pattern with a constant ratio?
Answer: A numeric pattern where each term is multiplied by the same factor (geometric progression).
Card 5
Question: What is a flow diagram in the context of patterns?
Answer: A practical way to describe pattern progression: input is Term 1, a rule modifies it along the flow line, producing an output used as next term's inpu
Card 6
Question: How can you check a term in an additive pattern using inverse operations?
Answer: Use the inverse operation (e.g. if 17 + 3 = 20, check with 20 - 3 = 17).
Card 7
Question: What characterizes patterns without a constant difference or ratio?
Answer: The amount added or multiplied changes each step (e.g. 1, 3, 6, 10, 15 where added amounts are +2, +3, +4, +5).
Card 8
Question: Describe the rule for the sequence 1, 3, 6, 10, 15 ...
Answer: Add increasing integers each time: +2, +3, +4, +5, ... so each term grows by one more than the previous increment.
Card 9
Question: How do you use the flow diagram output to continue a pattern?
Answer: The rule's output for the current term becomes the input for the next term, producing the next output.