If a, b, c are in A.P., then prove that the following A.P. (i) a²(b + c), b²(c + a), c²(a + b) 1

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
Problem 49PS
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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)
(ii)
1
1
1
√b₂+√c² √c + √a' √a + √b
1
a ( 1 + ²), o ( 1 + ²), (² + 1 )
1/ b
C
с a
a b
(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) (ii) 1 1 1 √b₂+√c² √c + √a' √a + √b 1 a ( 1 + ²), o ( 1 + ²), (² + 1 ) 1/ b C с a a b (iii) a
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