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If the sequence a1, 92, 93, an 2 az-az +az-a +...+ a²n-1-a²n ... ... is an A.P., then prove that n 2n-1 = 2 -(a²-a²n)

If the sequence a1, 92, 93, an 2 az-az +az-a +...+ a²n-1-a²n ... ... is an A.P., then prove that n 2n-1 = 2 -(a²-a²n)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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If the sequence a1, 92, 93, an, ... is an A.P., then prove that 2 a-a+a-ai++an-1-an ... = n - (a²-a²n) 2n-1
Transcribed Image Text:If the sequence a1, 92, 93, an, ... is an A.P., then prove that 2 a-a+a-ai++an-1-an ... = n - (a²-a²n) 2n-1
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