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Folios 31-32: ADM to AAL

[31r] My dear Lady Lovelace

You are right about
the writing down of the


 is the \(n\) th term divided
by the \((n-1)\) th and the
\( \overline{n+1}\) th divided by the 
\( n\) th is \(\frac{z}{2n(2n-1)}\) as you
make it.

If I understand you correctly
[31v] you are now satisfied about
all the rest

Suppose you try at what
term convergency begins in the
following series



 when \(x=100,000\) 

With remembrances to
Lord Lovelace
                   I remain
                          Yours truly

 69 G.S.

[32r] You will see the alteration 
I have made in your paper
If you do not see it
clearly, write again for
the sort of point con-
tained in it is one
of importance.

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Dep. Lovelace Byron

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