Find the first four terms of the sequence a_n = 7(n - 3). Determine whether the sequence is arithmetic, and if so, find the common difference d. A) a₁ = -14, a₂ = -7, a₃ = 0, a₄ = 7; not arithmetic B) a₁ = -14, a₂ = -7, a₃ = 0, a₄ = 7; d = 7 C) a₁ = 14, a₂ = 7, a₃ = 0, a₄ = -7; not arithmetic D) a₁ = -14, a₂ = -7, a₃ = 0, a₄ = 7; d = -7

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Quizplus · Accepted Answer

The sequence defined by $a_n = 7(n - 3)$ is arithmetic because it can be rewritten as $7n - 21$, which is a linear function of $n$. The common difference $d$ is the coefficient of $n$, which is $7$. The first four terms are calculated by substituting $n = 1, 2, 3, 4$ into the formula, resulting in $-14, -7, 0, 7$, respectively.

Find the First Four Terms of the Sequence An =

Find the First Four Terms of the Sequence A_n =