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Grade: 11
        
plxxx tell que.18...... Arithmetic progression
.......answer fast
one month ago

Answers : (2)

Arun
22595 Points
							
Dear student
 
2b = a + c
 
2b^2 = a^2 + c^2
 
hence
2(a + c)^2 /4 = a^2 + c^2
 
a^2 + c^2 + 2ac = 2 a^2 +2 c^2
 
hence (a – c)^2 = 0
 
a = c
 
hence a = b = c
one month ago
Rajat
213 Points
							
2b= a+c
2/b^2 = 1/a^2 + 1/c^2
Thus 8/(a+c)^2 = (a^2+c^2)/(ac)^2
By AM GM inequality,
(a^2+c^2)/2≥ac
And, (a+c/2)^2 ≥ac
Thus, 8/(a+c)^2≤ (a^2+c^2)/(ac)^2
So a=c thus a=b=c
 
one month ago
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