what is the common difference between successive terms in the sequence?

(2, 8, 14, 20, 26, \dots)

-6
-4
4
6

Question

what is the common difference between successive terms in the sequence?

(2, 8, 14, 20, 26, \dots)

-6
-4
4
6

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Arithmetic Sequences" ], "new_concepts": [], "current_concepts": [ "Arithmetic Sequences" ] } ## Identify the terms of the sequence $$ a_1 = 2, \quad a_2 = 8, \quad a_3 = 14, \quad a_4 = 20, \quad a_5 = 26 $$ ## Calculate the difference between successive terms $$ \begin{aligned} d &= a_2 - a_1 = 8 - 2 = 6 \ d &= a_3 - a_2 = 14 - 8 = 6 \ d &= a_4 - a_3 = 20 - 14 = 6 \end{aligned} $$ ## Match with the given options $$ d = 6 $$

(A) $-6$

(B) $-4$

(C) $4$

(D) $6$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Arithmetic Sequences" ] }

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Question

Explanation:

Identify the terms of the sequence

Calculate the difference between successive terms

Match with the given options

Answer: