1 1 +,++ 1 1 1 1 x = _ а а b and let and Dn On n-1 be, respectively, the last and Qn-1 last but one convergents of the fraction 1 + 1 1 + - - - .. a Prove that PrQn + Pn Pn-1 Q + PnQn-1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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32. I.et
1
1
1
1
1
1
x =
а
+
+,++
+
-
-
a
Pn-1
and let and ! be, respectively, the last and
Qn-1
last but one convergents of the fraction
1
1
1
..
а
Prove that
PnQn + PnPn-1
Q2 + PnQn-1
Transcribed Image Text:32. I.et 1 1 1 1 1 1 x = а + +,++ + - - a Pn-1 and let and ! be, respectively, the last and Qn-1 last but one convergents of the fraction 1 1 1 .. а Prove that PnQn + PnPn-1 Q2 + PnQn-1
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