a table is made using the following two patterns.

pattern (x): starting number: 5, rule: multiply by 3

pattern (y): starting number: 20, rule: multiply by (\frac{1}{2})

complete the table for the given patterns.

Question

a table is made using the following two patterns.

pattern (x): starting number: 5, rule: multiply by 3

pattern (y): starting number: 20, rule: multiply by (\frac{1}{2})

complete the table for the given patterns.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Geometric Sequences", "Pattern Rules" ], "current_concepts": [ "Geometric Sequences", "Pattern Rules", "Function Tables" ] } ## Generate values for pattern x $$ \begin{aligned} x_1 &= 5 \ x_2 &= 5 \times 3 = 15 \ x_3 &= 15 \times 3 = 45 \end{aligned} $$ ## Generate values for pattern y $$ \begin{aligned} y_1 &= 20 \ y_2 &= 20 \times \frac{1}{2} = 10 \ y_3 &= 10 \times \frac{1}{2} = 5 \end{aligned} $$ ## Construct the completed table $$ \begin{array}{c|c} x & y \ \hline 5 & 20 \ 15 & 10 \ 45 & 5 \end{array} $$ | $x$ | $y$ | | :---: | :---: | | 5 | 20 | | 15 | 10 | | 45 | 5 | { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Geometric Sequences" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Generate values for pattern x

Generate values for pattern y

Construct the completed table

Answer:

\(x\)	\(y\)
15	10
45	5