Show that a, b, c are in A. P. If x is the G M be tween a and b and y is the G M between b and then the A. M between x² and y² will be b².

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Show that a, b, c are in A. P. If x is the G M be tween a and b and y is the G M between b and,
then the A. M between x² and y² will be b².
Transcribed Image Text:Show that a, b, c are in A. P. If x is the G M be tween a and b and y is the G M between b and, then the A. M between x² and y² will be b².
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Step 1: Given data

Given that a,b and c are in AP , x is GM be between a and b and y be GM between b and c then we have to prove that AM between x2 and ywill be b2.

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