Question

If a, b, c are in A.P then 2a, 2b, 2c are in which progression
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Answer 1

If a,b,c are in AP
b-a=c-b
b=(a+c)/2

Then if take 2a,2b,2c
Let’s check for AP first

2b-2a=2c-2b
b=2(a+c)/4
b=(a+c)/2

Hence,2a,2b,2c are in Arithmetic Progression(AP).