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If a,b,c,d,e and f are in AP then express e-c in terms of d-c

+4 votes
asked Aug 19, 2016 in Mathematics by Rahul Roy (7,895 points) 31 96 261

1 Answer

+4 votes
answered Aug 20, 2016 by Annu Priya (17,816 points) 21 40 65
selected Jan 19, 2017 by sarthaks
Best answer

We have given a,b,c,d,e,f are in A.P

So, let common difference = x

so, a+x=b


a+3x = d

a+4x = e

a+5x = f

=> e-c = a+4x-a-2x = 2x ---------(1)

=> d-c = a+3x-a-2x = x --------(2)

so from 1 and 2 we get

e-c = 2(d-c)

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