Find the nth term of a recursive sequence given by a₁ = 5, a_n_{+ 1} = a_n + 4 for n $\ge$ 1. A) 5 + 4n B) 5 + 4(n + 1) C) 5 + 4(n - 1) D) 9n

Name: Find the nth term of a recursive sequence given by a 1 = 5, a n + 1 = a n + 4 for n $\ge$ 1. A) 5 + 4n B) 5 + 4(n + 1) C) 5 + 4(n - 1) D) 9n
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Question

Quizplus · Accepted Answer

The sequence starts at 5 and increases by 4 each time. The nth term is the initial term plus 4 times the number of steps from the first term, which is n-1. Thus, the nth term is 5 + 4(n - 1).

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