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if a,b and c are in arithmetic progression then prove that 2b=a+c?

if a,b and c are in arithmetic progression then prove that 2b=a+c?
 

Grade:11

2 Answers

rajesh
28 Points
5 years ago
since b=a+c/2
therefore 2b=a+c
 
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Vijay Mukati
askIITians Faculty 2590 Points
5 years ago
Dear Student,

If a, b and c are in AP, this means that the comman difference between these numbers will be equal.
i.e. b – a = c – b or 2b = a+c.

Thanks.

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