Question 5. Prove, using mathematical induction, that 1 1+ 2n –1 = 2(1 –). 2n +... %3D 4 for all positive integers n.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Discrete maths
Question 5. Prove, using mathematical induction, that
1 1
1+;+ェ+
4
1
2(1 -
...
%3D
2n -1
2n
for all positive integers n.
Transcribed Image Text:Question 5. Prove, using mathematical induction, that 1 1 1+;+ェ+ 4 1 2(1 - ... %3D 2n -1 2n for all positive integers n.
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