find the first four terms of the geometric sequence with $a_1 = 7$ and $r = -2$.
enter your answers separated by commas and surrounded by braces in the form $\{a_1, a_2, a_3, a_4\}$ and in this order.

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Geometric Sequence", "Common Ratio" ], "new_concepts": [], "current_concepts": [ "Geometric Sequence", "Common Ratio" ] } ## Identify the given parameters $$ \begin{aligned} a_1 &= 7 \ r &= -2 \end{aligned} $$ ## Calculate the first four terms $$ \begin{aligned} a_1 &= 7 \ a_2 &= a_1 \cdot r = 7 \cdot (-2) = -14 \ a_3 &= a_2 \cdot r = -14 \cdot (-2) = 28 \ a_4 &= a_3 \cdot r = 28 \cdot (-2) = -56 \end{aligned} $$ ## Format the sequence $$ \{a_1, a_2, a_3, a_4\} = \{7, -14, 28, -56\} $$ Find the first four terms of the geometric sequence with $a_1 = 7$ and $r = -2$. Enter your answers separated by commas and surrounded by braces in the form $\{a_1, a_2, a_3, a_4\}$ and in this order. $\{7, -14, 28, -56\}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Geometric Sequence" ] }

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Explanation:

Identify the given parameters

Calculate the first four terms

Format the sequence

Answer: