(1 point) Let ($$a_n$$) be a sequence defined by the formula $$a_n = 7n + 1$$ for all integers $$n \ge 0$$. Determine whether this sequence satisfies the recursive relation $$a_n = a_{n-1} + 7$$. According to the formula that defines the sequence, $$a_n = \boxed{\phantom{7n+1}}$$. In order for the sequence to satisfy the recursive relation, it must be the case that $$a_{n-1} + 7$$ is equal to this. $$a_{n-1} = \boxed{\phantom{7(n-1)+1}}$$ $$a_{n-1} + 7 = \boxed{\phantom{7(n-1)+1+7}}$$ Is $$a_{n-1} + 7$$ equal to $$a_n$$? A. Yes B. No C. Not enough information given Does the sequence satisfy the recursive relation? A. Yes B. No C. Not enough information given
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We check the recursive relation a_n = a_{n-1} + 7 (which is intended for n ≥ 1). Show more…
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