If a, b, c are in A.P., then prove that the following are also in A.P. (i) a²(b + c), b²(c + a), c²(a + b) 1 1 1 (11) √b²+ √e ² √e + √a® √a + √b (ii) 1 a ( ² + ² ), o ( ² + ² ) , ( ² + 1 ) 1 - C с a a (iii) a

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 35E
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If a, b, c are in A.P., then prove that the following are also in
A.P.
(i) a²(b + c), b²(c + a), c²(a + b)
1
1
1
(11) √b²+ √e ² √e + √a® √a + √b
(ii)
1
a ( ² + ² ), o ( ² + ² ) , ( ² + 1 )
C
-
C
с
a
a
(iii) a
Transcribed Image Text:If a, b, c are in A.P., then prove that the following are also in A.P. (i) a²(b + c), b²(c + a), c²(a + b) 1 1 1 (11) √b²+ √e ² √e + √a® √a + √b (ii) 1 a ( ² + ² ), o ( ² + ² ) , ( ² + 1 ) C - C с a a (iii) a
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