Convergent sequences of real numbers

Define the sequence of rational numbers p(n) recursively as follows:

\[p(1)=1\]

\[p(n)=1-\frac{p(n-1)}{2}\]

  • Compute and plot p(n) for \(n=1,2,\ldots , 20\). What inference do you draw about the terms p(n)?

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