We are given a sequence $a_n = 2n + 3$. We are also given that $a_n = 17$. We need to find the value of $n$.

AlgebraSequencesLinear EquationsSolving Equations
2025/4/24

1. Problem Description

We are given a sequence an=2n+3a_n = 2n + 3. We are also given that an=17a_n = 17. We need to find the value of nn.

2. Solution Steps

We are given the sequence an=2n+3a_n = 2n + 3. We are given that an=17a_n = 17.
So, we need to solve the equation 2n+3=172n + 3 = 17 for nn.
Subtracting 3 from both sides of the equation, we get
2n=1732n = 17 - 3
2n=142n = 14
Dividing both sides by 2, we get
n=142n = \frac{14}{2}
n=7n = 7

3. Final Answer

The value of nn is

7. Therefore, the answer is D.

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