If a,b,c are in A.P., prove that b+c, c+a, a+b are in A.P.
Answers
Answered by
5
Answer:
Step-by-step explanation:
If a, b, c are in ap
Then a+c/2=b
a+c=2c
Similarly (b+c)+(a+b)/2=c+a
b+c+a+b=2c+2a
2b=a+c
b=a+c/2
Proved
Answered by
101
Answer:
Given,a,b and c are in A.P.
To prove, b+c,c+a,a+b are in A.P.
c+a-(b+c)=a+b-(c+a)
⇒c+a-b-c=a+b-c-a
a-b=b-c
⇒b-a=c-b
∴ a,b and c are in A.P.
∴b+c,c+a,a+b are in A.P.
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