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Let a sequence of integers $I_{1}, I_{2}, I_{3}, ......$ be defined by $I_{1} = 1$ and $I_{n + 1} = 1 + I_{1} . I_{2} . I_{3} .... I_{n} \forall n \geq 1$ . If $H_{n} = \sum_{k = 1}^{n} \frac{1}{I_{k}}$ and $P_{n} = \prod_{k = 1}^{n} \frac{1}{I_{k}}$ then the value of $H_{2023} + P_{2023}$ is

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2023

$\frac{1}{2}$

answer is C.

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$H_{n} + P_{n} = 2, \forall n \geq 1$

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