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If a,b,c,d,e and f are in AP then express e-c in terms of d-c |
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Answer» We have given a,b,c,d,e,f are in A.P So, let common difference = x so, a+x=b a+2x=c 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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